Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40500 | − | 0.161164i | −0.993485 | − | 0.113960i | ||||
\(3\) | −1.68781 | − | 0.388965i | −0.974458 | − | 0.224569i | ||||
\(4\) | 1.94805 | + | 0.452871i | 0.974026 | + | 0.226435i | ||||
\(5\) | −0.846545 | + | 0.226831i | −0.378587 | + | 0.101442i | −0.443094 | − | 0.896475i | \(-0.646119\pi\) |
0.0645072 | + | 0.997917i | \(0.479452\pi\) | |||||||
\(6\) | 2.30869 | + | 0.818511i | 0.942518 | + | 0.334156i | ||||
\(7\) | −0.567074 | + | 0.327400i | −0.214334 | + | 0.123746i | −0.603324 | − | 0.797496i | \(-0.706157\pi\) |
0.388990 | + | 0.921242i | \(0.372824\pi\) | |||||||
\(8\) | −2.66403 | − | 0.950239i | −0.941876 | − | 0.335960i | ||||
\(9\) | 2.69741 | + | 1.31300i | 0.899137 | + | 0.437667i | ||||
\(10\) | 1.22595 | − | 0.182265i | 0.387681 | − | 0.0576374i | ||||
\(11\) | −1.54155 | + | 5.75313i | −0.464794 | + | 1.73463i | 0.192778 | + | 0.981242i | \(0.438250\pi\) |
−0.657572 | + | 0.753392i | \(0.728416\pi\) | |||||||
\(12\) | −3.11179 | − | 1.52208i | −0.898297 | − | 0.439388i | ||||
\(13\) | 1.19068 | + | 4.44367i | 0.330234 | + | 1.23245i | 0.908944 | + | 0.416918i | \(0.136890\pi\) |
−0.578710 | + | 0.815534i | \(0.696444\pi\) | |||||||
\(14\) | 0.849504 | − | 0.368606i | 0.227039 | − | 0.0985140i | ||||
\(15\) | 1.51704 | − | 0.0535712i | 0.391698 | − | 0.0138320i | ||||
\(16\) | 3.58982 | + | 1.76443i | 0.897454 | + | 0.441108i | ||||
\(17\) | 2.75816 | 0.668953 | 0.334477 | − | 0.942404i | \(-0.391441\pi\) | ||||
0.334477 | + | 0.942404i | \(0.391441\pi\) | |||||||
\(18\) | −3.57826 | − | 2.27949i | −0.843403 | − | 0.537281i | ||||
\(19\) | −1.73499 | + | 1.73499i | −0.398034 | + | 0.398034i | −0.877539 | − | 0.479505i | \(-0.840816\pi\) |
0.479505 | + | 0.877539i | \(0.340816\pi\) | |||||||
\(20\) | −1.75184 | + | 0.0585035i | −0.391723 | + | 0.0130818i | ||||
\(21\) | 1.08446 | − | 0.332018i | 0.236649 | − | 0.0724522i | ||||
\(22\) | 3.09307 | − | 7.83471i | 0.659445 | − | 1.67037i | ||||
\(23\) | −3.50762 | − | 2.02512i | −0.731389 | − | 0.422268i | 0.0875410 | − | 0.996161i | \(-0.472099\pi\) |
−0.818930 | + | 0.573893i | \(0.805432\pi\) | |||||||
\(24\) | 4.12677 | + | 2.64004i | 0.842373 | + | 0.538896i | ||||
\(25\) | −3.66494 | + | 2.11595i | −0.732988 | + | 0.423191i | ||||
\(26\) | −0.956743 | − | 6.43525i | −0.187633 | − | 1.26206i | ||||
\(27\) | −4.04201 | − | 3.26530i | −0.777885 | − | 0.628407i | ||||
\(28\) | −1.25296 | + | 0.380982i | −0.236787 | + | 0.0719988i | ||||
\(29\) | 2.47312 | + | 0.662669i | 0.459246 | + | 0.123055i | 0.481022 | − | 0.876708i | \(-0.340266\pi\) |
−0.0217764 | + | 0.999763i | \(0.506932\pi\) | |||||||
\(30\) | −2.14007 | − | 0.169224i | −0.390722 | − | 0.0308960i | ||||
\(31\) | 2.08801 | − | 3.61654i | 0.375018 | − | 0.649550i | −0.615312 | − | 0.788284i | \(-0.710970\pi\) |
0.990330 | + | 0.138734i | \(0.0443033\pi\) | |||||||
\(32\) | −4.75933 | − | 3.05758i | −0.841339 | − | 0.540508i | ||||
\(33\) | 4.83961 | − | 9.11059i | 0.842468 | − | 1.58595i | ||||
\(34\) | −3.87522 | − | 0.444516i | −0.664595 | − | 0.0762339i | ||||
\(35\) | 0.405789 | − | 0.405789i | 0.0685909 | − | 0.0685909i | ||||
\(36\) | 4.66008 | + | 3.77937i | 0.776680 | + | 0.629895i | ||||
\(37\) | −4.30563 | − | 4.30563i | −0.707841 | − | 0.707841i | 0.258240 | − | 0.966081i | \(-0.416858\pi\) |
−0.966081 | + | 0.258240i | \(0.916858\pi\) | |||||||
\(38\) | 2.71728 | − | 2.15804i | 0.440801 | − | 0.350081i | ||||
\(39\) | −0.281205 | − | 7.96320i | −0.0450288 | − | 1.27513i | ||||
\(40\) | 2.47076 | + | 0.200136i | 0.390662 | + | 0.0316443i | ||||
\(41\) | 6.15806 | + | 3.55536i | 0.961728 | + | 0.555254i | 0.896704 | − | 0.442630i | \(-0.145954\pi\) |
0.0650233 | + | 0.997884i | \(0.479288\pi\) | |||||||
\(42\) | −1.57718 | + | 0.291709i | −0.243364 | + | 0.0450117i | ||||
\(43\) | 0.225483 | − | 0.841515i | 0.0343859 | − | 0.128330i | −0.946599 | − | 0.322412i | \(-0.895506\pi\) |
0.980985 | + | 0.194082i | \(0.0621729\pi\) | |||||||
\(44\) | −5.60844 | + | 10.5093i | −0.845504 | + | 1.58433i | ||||
\(45\) | −2.58131 | − | 0.499657i | −0.384799 | − | 0.0744845i | ||||
\(46\) | 4.60183 | + | 3.41060i | 0.678503 | + | 0.502866i | ||||
\(47\) | 4.65521 | + | 8.06305i | 0.679032 | + | 1.17612i | 0.975273 | + | 0.221004i | \(0.0709334\pi\) |
−0.296241 | + | 0.955113i | \(0.595733\pi\) | |||||||
\(48\) | −5.37263 | − | 4.37434i | −0.775472 | − | 0.631382i | ||||
\(49\) | −3.28562 | + | 5.69086i | −0.469374 | + | 0.812980i | ||||
\(50\) | 5.49026 | − | 2.38226i | 0.776440 | − | 0.336903i | ||||
\(51\) | −4.65526 | − | 1.07283i | −0.651867 | − | 0.150226i | ||||
\(52\) | 0.307095 | + | 9.19572i | 0.0425865 | + | 1.27522i | ||||
\(53\) | −7.64584 | − | 7.64584i | −1.05024 | − | 1.05024i | −0.998669 | − | 0.0515677i | \(-0.983578\pi\) |
−0.0515677 | − | 0.998669i | \(-0.516422\pi\) | |||||||
\(54\) | 5.15278 | + | 5.23917i | 0.701204 | + | 0.712961i | ||||
\(55\) | − | 5.21996i | − | 0.703859i | ||||||
\(56\) | 1.82181 | − | 0.333348i | 0.243449 | − | 0.0445455i | ||||
\(57\) | 3.60318 | − | 2.25348i | 0.477253 | − | 0.298481i | ||||
\(58\) | −3.36793 | − | 1.32963i | −0.442231 | − | 0.174589i | ||||
\(59\) | 6.83351 | − | 1.83103i | 0.889647 | − | 0.238380i | 0.215082 | − | 0.976596i | \(-0.430998\pi\) |
0.674565 | + | 0.738216i | \(0.264331\pi\) | |||||||
\(60\) | 2.97953 | + | 0.582662i | 0.384656 | + | 0.0752214i | ||||
\(61\) | −3.77755 | − | 1.01219i | −0.483666 | − | 0.129598i | 0.00874306 | − | 0.999962i | \(-0.497217\pi\) |
−0.492409 | + | 0.870364i | \(0.663884\pi\) | |||||||
\(62\) | −3.51651 | + | 4.74473i | −0.446597 | + | 0.602581i | ||||
\(63\) | −1.95951 | + | 0.138565i | −0.246875 | + | 0.0174576i | ||||
\(64\) | 6.19409 | + | 5.06293i | 0.774261 | + | 0.632866i | ||||
\(65\) | −2.01592 | − | 3.49168i | −0.250045 | − | 0.433090i | ||||
\(66\) | −8.26795 | + | 12.0204i | −1.01771 | + | 1.47961i | ||||
\(67\) | 3.11705 | + | 11.6330i | 0.380809 | + | 1.42120i | 0.844669 | + | 0.535289i | \(0.179797\pi\) |
−0.463860 | + | 0.885908i | \(0.653536\pi\) | |||||||
\(68\) | 5.37305 | + | 1.24909i | 0.651578 | + | 0.151475i | ||||
\(69\) | 5.13249 | + | 4.78237i | 0.617880 | + | 0.575730i | ||||
\(70\) | −0.635532 | + | 0.504735i | −0.0759606 | + | 0.0603274i | ||||
\(71\) | 4.34835i | 0.516054i | 0.966138 | + | 0.258027i | \(0.0830723\pi\) | ||||
−0.966138 | + | 0.258027i | \(0.916928\pi\) | |||||||
\(72\) | −5.93832 | − | 6.06106i | −0.699837 | − | 0.714302i | ||||
\(73\) | − | 0.656583i | − | 0.0768472i | −0.999262 | − | 0.0384236i | \(-0.987766\pi\) | ||
0.999262 | − | 0.0384236i | \(-0.0122336\pi\) | |||||||
\(74\) | 5.35550 | + | 6.74332i | 0.622564 | + | 0.783896i | ||||
\(75\) | 7.00876 | − | 2.14580i | 0.809302 | − | 0.247775i | ||||
\(76\) | −4.16557 | + | 2.59412i | −0.477824 | + | 0.297566i | ||||
\(77\) | −1.00941 | − | 3.76715i | −0.115032 | − | 0.429307i | ||||
\(78\) | −0.888288 | + | 11.2336i | −0.100579 | + | 1.27196i | ||||
\(79\) | −8.16172 | − | 14.1365i | −0.918266 | − | 1.59048i | −0.802048 | − | 0.597259i | \(-0.796256\pi\) |
−0.116217 | − | 0.993224i | \(-0.537077\pi\) | |||||||
\(80\) | −3.43917 | − | 0.679389i | −0.384511 | − | 0.0759580i | ||||
\(81\) | 5.55206 | + | 7.08340i | 0.616896 | + | 0.787045i | ||||
\(82\) | −8.07908 | − | 5.98774i | −0.892186 | − | 0.661235i | ||||
\(83\) | 5.36845 | + | 1.43847i | 0.589264 | + | 0.157893i | 0.541117 | − | 0.840948i | \(-0.318002\pi\) |
0.0481470 | + | 0.998840i | \(0.484668\pi\) | |||||||
\(84\) | 2.26295 | − | 0.155667i | 0.246908 | − | 0.0169847i | ||||
\(85\) | −2.33491 | + | 0.625638i | −0.253257 | + | 0.0678599i | ||||
\(86\) | −0.452426 | + | 1.14599i | −0.0487863 | + | 0.123575i | ||||
\(87\) | −3.91640 | − | 2.08042i | −0.419882 | − | 0.223044i | ||||
\(88\) | 9.57357 | − | 13.8617i | 1.02055 | − | 1.47766i | ||||
\(89\) | 5.11081i | 0.541744i | 0.962615 | + | 0.270872i | \(0.0873121\pi\) | ||||
−0.962615 | + | 0.270872i | \(0.912688\pi\) | |||||||
\(90\) | 3.54622 | + | 1.11803i | 0.373804 | + | 0.117851i | ||||
\(91\) | −2.13006 | − | 2.13006i | −0.223291 | − | 0.223291i | ||||
\(92\) | −5.91591 | − | 5.53355i | −0.616776 | − | 0.576912i | ||||
\(93\) | −4.93087 | + | 5.29187i | −0.511308 | + | 0.548741i | ||||
\(94\) | −5.24109 | − | 12.0788i | −0.540578 | − | 1.24584i | ||||
\(95\) | 1.07520 | − | 1.86230i | 0.110313 | − | 0.191068i | ||||
\(96\) | 6.84356 | + | 7.01182i | 0.698468 | + | 0.715641i | ||||
\(97\) | 3.05669 | + | 5.29434i | 0.310360 | + | 0.537559i | 0.978440 | − | 0.206530i | \(-0.0662171\pi\) |
−0.668080 | + | 0.744089i | \(0.732884\pi\) | |||||||
\(98\) | 5.53346 | − | 7.46613i | 0.558963 | − | 0.754193i | ||||
\(99\) | −11.7120 | + | 13.4945i | −1.17711 | + | 1.35625i | ||||
\(100\) | −8.09775 | + | 2.46225i | −0.809775 | + | 0.246225i | ||||
\(101\) | 3.30688 | − | 12.3415i | 0.329047 | − | 1.22802i | −0.581133 | − | 0.813809i | \(-0.697390\pi\) |
0.910180 | − | 0.414213i | \(-0.135943\pi\) | |||||||
\(102\) | 6.36774 | + | 2.25759i | 0.630500 | + | 0.223534i | ||||
\(103\) | 1.82866 | + | 1.05577i | 0.180183 | + | 0.104029i | 0.587379 | − | 0.809312i | \(-0.300160\pi\) |
−0.407196 | + | 0.913341i | \(0.633493\pi\) | |||||||
\(104\) | 1.05055 | − | 12.9695i | 0.103015 | − | 1.27176i | ||||
\(105\) | −0.842733 | + | 0.527057i | −0.0822423 | + | 0.0514355i | ||||
\(106\) | 9.51018 | + | 11.9746i | 0.923710 | + | 1.16308i | ||||
\(107\) | 7.26738 | + | 7.26738i | 0.702564 | + | 0.702564i | 0.964960 | − | 0.262396i | \(-0.0845128\pi\) |
−0.262396 | + | 0.964960i | \(0.584513\pi\) | |||||||
\(108\) | −6.39529 | − | 8.19148i | −0.615387 | − | 0.788225i | ||||
\(109\) | 5.73169 | − | 5.73169i | 0.548996 | − | 0.548996i | −0.377154 | − | 0.926150i | \(-0.623097\pi\) |
0.926150 | + | 0.377154i | \(0.123097\pi\) | |||||||
\(110\) | −0.841268 | + | 7.33404i | −0.0802118 | + | 0.699273i | ||||
\(111\) | 5.59235 | + | 8.94183i | 0.530802 | + | 0.848721i | ||||
\(112\) | −2.61337 | + | 0.174744i | −0.246940 | + | 0.0165118i | ||||
\(113\) | 0.907975 | − | 1.57266i | 0.0854151 | − | 0.147943i | −0.820153 | − | 0.572144i | \(-0.806112\pi\) |
0.905568 | + | 0.424201i | \(0.139445\pi\) | |||||||
\(114\) | −5.42565 | + | 2.58544i | −0.508159 | + | 0.242149i | ||||
\(115\) | 3.42872 | + | 0.918723i | 0.319730 | + | 0.0856713i | ||||
\(116\) | 4.51766 | + | 2.41092i | 0.419454 | + | 0.223848i | ||||
\(117\) | −2.62279 | + | 13.5498i | −0.242477 | + | 1.25268i | ||||
\(118\) | −9.89618 | + | 1.47129i | −0.911017 | + | 0.135443i | ||||
\(119\) | −1.56408 | + | 0.903023i | −0.143379 | + | 0.0827800i | ||||
\(120\) | −4.09234 | − | 1.29883i | −0.373578 | − | 0.118567i | ||||
\(121\) | −21.1959 | − | 12.2374i | −1.92690 | − | 1.11249i | ||||
\(122\) | 5.14433 | + | 2.03094i | 0.465746 | + | 0.183872i | ||||
\(123\) | −9.01073 | − | 8.39605i | −0.812470 | − | 0.757046i | ||||
\(124\) | 5.70538 | − | 6.09961i | 0.512358 | − | 0.547761i | ||||
\(125\) | 5.72115 | − | 5.72115i | 0.511715 | − | 0.511715i | ||||
\(126\) | 2.77544 | + | 0.121118i | 0.247256 | + | 0.0107900i | ||||
\(127\) | 19.2026 | 1.70395 | 0.851976 | − | 0.523581i | \(-0.175404\pi\) | ||||
0.851976 | + | 0.523581i | \(0.175404\pi\) | |||||||
\(128\) | −7.88674 | − | 8.11168i | −0.697096 | − | 0.716978i | ||||
\(129\) | −0.707893 | + | 1.33261i | −0.0623265 | + | 0.117330i | ||||
\(130\) | 2.26964 | + | 5.23071i | 0.199061 | + | 0.458764i | ||||
\(131\) | −3.12885 | − | 11.6770i | −0.273369 | − | 1.02023i | −0.956927 | − | 0.290330i | \(-0.906235\pi\) |
0.683558 | − | 0.729896i | \(-0.260432\pi\) | |||||||
\(132\) | 13.5537 | − | 15.5562i | 1.17970 | − | 1.35399i | ||||
\(133\) | 0.415831 | − | 1.55190i | 0.0360571 | − | 0.134567i | ||||
\(134\) | −2.50464 | − | 16.8467i | −0.216368 | − | 1.45534i | ||||
\(135\) | 4.16242 | + | 1.84737i | 0.358244 | + | 0.158996i | ||||
\(136\) | −7.34783 | − | 2.62092i | −0.630071 | − | 0.224742i | ||||
\(137\) | −2.88080 | + | 1.66323i | −0.246123 | + | 0.142099i | −0.617988 | − | 0.786188i | \(-0.712052\pi\) |
0.371865 | + | 0.928287i | \(0.378719\pi\) | |||||||
\(138\) | −6.44041 | − | 7.54641i | −0.548244 | − | 0.642393i | ||||
\(139\) | 10.4536 | − | 2.80104i | 0.886666 | − | 0.237582i | 0.213385 | − | 0.976968i | \(-0.431551\pi\) |
0.673281 | + | 0.739387i | \(0.264884\pi\) | |||||||
\(140\) | 0.974268 | − | 0.606728i | 0.0823407 | − | 0.0512779i | ||||
\(141\) | −4.72086 | − | 15.4196i | −0.397568 | − | 1.29857i | ||||
\(142\) | 0.700796 | − | 6.10943i | 0.0588095 | − | 0.512692i | ||||
\(143\) | −27.4005 | −2.29134 | ||||||||
\(144\) | 7.36651 | + | 9.47283i | 0.613876 | + | 0.789402i | ||||
\(145\) | −2.24392 | −0.186347 | ||||||||
\(146\) | −0.105817 | + | 0.922499i | −0.00875751 | + | 0.0763466i | ||||
\(147\) | 7.75905 | − | 8.32710i | 0.639956 | − | 0.686808i | ||||
\(148\) | −6.43770 | − | 10.3375i | −0.529176 | − | 0.849736i | ||||
\(149\) | −19.1223 | + | 5.12380i | −1.56656 | + | 0.419758i | −0.934733 | − | 0.355351i | \(-0.884361\pi\) |
−0.631827 | + | 0.775110i | \(0.717695\pi\) | |||||||
\(150\) | −10.1931 | + | 1.88529i | −0.832266 | + | 0.153933i | ||||
\(151\) | 5.09441 | − | 2.94126i | 0.414577 | − | 0.239356i | −0.278177 | − | 0.960530i | \(-0.589730\pi\) |
0.692754 | + | 0.721174i | \(0.256397\pi\) | |||||||
\(152\) | 6.27071 | − | 2.97340i | 0.508622 | − | 0.241175i | ||||
\(153\) | 7.43990 | + | 3.62147i | 0.601481 | + | 0.292779i | ||||
\(154\) | 0.811086 | + | 5.45553i | 0.0653592 | + | 0.439619i | ||||
\(155\) | −0.947251 | + | 3.53519i | −0.0760851 | + | 0.283953i | ||||
\(156\) | 3.05850 | − | 15.6401i | 0.244876 | − | 1.25221i | ||||
\(157\) | 5.09096 | + | 18.9997i | 0.406303 | + | 1.51634i | 0.801640 | + | 0.597808i | \(0.203961\pi\) |
−0.395336 | + | 0.918536i | \(0.629372\pi\) | |||||||
\(158\) | 9.18893 | + | 21.1772i | 0.731032 | + | 1.68477i | ||||
\(159\) | 9.93077 | + | 15.8787i | 0.787561 | + | 1.25926i | ||||
\(160\) | 4.72254 | + | 1.50881i | 0.373350 | + | 0.119282i | ||||
\(161\) | 2.65210 | 0.209015 | ||||||||
\(162\) | −6.65906 | − | 10.8470i | −0.523185 | − | 0.852219i | ||||
\(163\) | 5.00716 | − | 5.00716i | 0.392191 | − | 0.392191i | −0.483277 | − | 0.875468i | \(-0.660554\pi\) |
0.875468 | + | 0.483277i | \(0.160554\pi\) | |||||||
\(164\) | 10.3861 | + | 9.71483i | 0.811019 | + | 0.758601i | ||||
\(165\) | −2.03038 | + | 8.81030i | −0.158065 | + | 0.685881i | ||||
\(166\) | −7.31084 | − | 2.88625i | −0.567431 | − | 0.224017i | ||||
\(167\) | 14.5023 | + | 8.37292i | 1.12222 | + | 0.647916i | 0.941967 | − | 0.335704i | \(-0.108974\pi\) |
0.180255 | + | 0.983620i | \(0.442308\pi\) | |||||||
\(168\) | −3.20453 | − | 0.145993i | −0.247235 | − | 0.0112636i | ||||
\(169\) | −7.07014 | + | 4.08195i | −0.543857 | + | 0.313996i | ||||
\(170\) | 3.38138 | − | 0.502718i | 0.259340 | − | 0.0385567i | ||||
\(171\) | −6.95802 | + | 2.40194i | −0.532093 | + | 0.183681i | ||||
\(172\) | 0.820350 | − | 1.53720i | 0.0625511 | − | 0.117210i | ||||
\(173\) | −16.2848 | − | 4.36351i | −1.23811 | − | 0.331751i | −0.420379 | − | 0.907349i | \(-0.638103\pi\) |
−0.817733 | + | 0.575597i | \(0.804770\pi\) | |||||||
\(174\) | 5.16725 | + | 3.55417i | 0.391728 | + | 0.269441i | ||||
\(175\) | 1.38553 | − | 2.39980i | 0.104736 | − | 0.181408i | ||||
\(176\) | −15.6849 | + | 17.9327i | −1.18229 | + | 1.35173i | ||||
\(177\) | −12.2459 | + | 0.432439i | −0.920456 | + | 0.0325041i | ||||
\(178\) | 0.823677 | − | 7.18068i | 0.0617372 | − | 0.538215i | ||||
\(179\) | 6.56566 | − | 6.56566i | 0.490740 | − | 0.490740i | −0.417799 | − | 0.908539i | \(-0.637198\pi\) |
0.908539 | + | 0.417799i | \(0.137198\pi\) | |||||||
\(180\) | −4.80225 | − | 2.14236i | −0.357938 | − | 0.159682i | ||||
\(181\) | 15.4877 | + | 15.4877i | 1.15119 | + | 1.15119i | 0.986315 | + | 0.164875i | \(0.0527219\pi\) |
0.164875 | + | 0.986315i | \(0.447278\pi\) | |||||||
\(182\) | 2.64945 | + | 3.33602i | 0.196390 | + | 0.247282i | ||||
\(183\) | 5.98209 | + | 3.17773i | 0.442209 | + | 0.234904i | ||||
\(184\) | 7.42004 | + | 8.72807i | 0.547013 | + | 0.643442i | ||||
\(185\) | 4.62156 | + | 2.66826i | 0.339784 | + | 0.196174i | ||||
\(186\) | 7.78074 | − | 6.64040i | 0.570511 | − | 0.486898i | ||||
\(187\) | −4.25184 | + | 15.8681i | −0.310925 | + | 1.16039i | ||||
\(188\) | 5.41707 | + | 17.8155i | 0.395080 | + | 1.29933i | ||||
\(189\) | 3.36118 | + | 0.528309i | 0.244490 | + | 0.0384288i | ||||
\(190\) | −1.81079 | + | 2.44324i | −0.131368 | + | 0.177252i | ||||
\(191\) | −1.73038 | − | 2.99710i | −0.125206 | − | 0.216863i | 0.796608 | − | 0.604497i | \(-0.206626\pi\) |
−0.921813 | + | 0.387634i | \(0.873292\pi\) | |||||||
\(192\) | −8.48515 | − | 10.9546i | −0.612363 | − | 0.790577i | ||||
\(193\) | 4.93395 | − | 8.54585i | 0.355153 | − | 0.615144i | −0.631991 | − | 0.774976i | \(-0.717762\pi\) |
0.987144 | + | 0.159832i | \(0.0510953\pi\) | |||||||
\(194\) | −3.44139 | − | 7.93118i | −0.247078 | − | 0.569426i | ||||
\(195\) | 2.04436 | + | 6.67743i | 0.146399 | + | 0.478181i | ||||
\(196\) | −8.97778 | + | 9.59813i | −0.641270 | + | 0.685581i | ||||
\(197\) | 4.95292 | + | 4.95292i | 0.352881 | + | 0.352881i | 0.861180 | − | 0.508299i | \(-0.169726\pi\) |
−0.508299 | + | 0.861180i | \(0.669726\pi\) | |||||||
\(198\) | 18.6303 | − | 17.0722i | 1.32399 | − | 1.21327i | ||||
\(199\) | 19.3983i | 1.37511i | 0.726132 | + | 0.687556i | \(0.241316\pi\) | ||||
−0.726132 | + | 0.687556i | \(0.758684\pi\) | |||||||
\(200\) | 11.7742 | − | 2.15439i | 0.832559 | − | 0.152339i | ||||
\(201\) | −0.736162 | − | 20.8467i | −0.0519248 | − | 1.47042i | ||||
\(202\) | −6.63517 | + | 16.8068i | −0.466849 | + | 1.18252i | ||||
\(203\) | −1.61940 | + | 0.433916i | −0.113659 | + | 0.0304549i | ||||
\(204\) | −8.58284 | − | 4.19816i | −0.600919 | − | 0.293930i | ||||
\(205\) | −6.01954 | − | 1.61293i | −0.420423 | − | 0.112652i | ||||
\(206\) | −2.39911 | − | 1.77808i | −0.167154 | − | 0.123884i | ||||
\(207\) | −6.80250 | − | 10.0681i | −0.472807 | − | 0.699781i | ||||
\(208\) | −3.56623 | + | 18.0528i | −0.247274 | + | 1.25174i | ||||
\(209\) | −7.30705 | − | 12.6562i | −0.505439 | − | 0.875446i | ||||
\(210\) | 1.26898 | − | 0.604698i | 0.0875682 | − | 0.0417281i | ||||
\(211\) | −0.499784 | − | 1.86522i | −0.0344066 | − | 0.128407i | 0.946586 | − | 0.322450i | \(-0.104506\pi\) |
−0.980993 | + | 0.194043i | \(0.937840\pi\) | |||||||
\(212\) | −11.4319 | − | 18.3571i | −0.785148 | − | 1.26077i | ||||
\(213\) | 1.69136 | − | 7.33919i | 0.115890 | − | 0.502873i | ||||
\(214\) | −9.03943 | − | 11.3819i | −0.617923 | − | 0.778051i | ||||
\(215\) | 0.763527i | 0.0520721i | ||||||||
\(216\) | 7.66522 | + | 12.5397i | 0.521552 | + | 0.853220i | ||||
\(217\) | 2.73446i | 0.185627i | ||||||||
\(218\) | −8.97677 | + | 7.12928i | −0.607983 | + | 0.482856i | ||||
\(219\) | −0.255388 | + | 1.10819i | −0.0172575 | + | 0.0748844i | ||||
\(220\) | 2.36396 | − | 10.1687i | 0.159378 | − | 0.685577i | ||||
\(221\) | 3.28408 | + | 12.2564i | 0.220911 | + | 0.824452i | ||||
\(222\) | −6.41615 | − | 13.4646i | −0.430624 | − | 0.903682i | ||||
\(223\) | −6.56173 | − | 11.3653i | −0.439406 | − | 0.761074i | 0.558237 | − | 0.829681i | \(-0.311478\pi\) |
−0.997644 | + | 0.0686072i | \(0.978144\pi\) | |||||||
\(224\) | 3.69994 | + | 0.175665i | 0.247213 | + | 0.0117371i | ||||
\(225\) | −12.6641 | + | 0.895533i | −0.844273 | + | 0.0597022i | ||||
\(226\) | −1.52916 | + | 2.06325i | −0.101718 | + | 0.137246i | ||||
\(227\) | 4.02317 | + | 1.07800i | 0.267027 | + | 0.0715497i | 0.389848 | − | 0.920879i | \(-0.372527\pi\) |
−0.122821 | + | 0.992429i | \(0.539194\pi\) | |||||||
\(228\) | 8.03973 | − | 2.75813i | 0.532444 | − | 0.182661i | ||||
\(229\) | 26.9787 | − | 7.22892i | 1.78280 | − | 0.477701i | 0.791713 | − | 0.610894i | \(-0.209190\pi\) |
0.991090 | + | 0.133193i | \(0.0425231\pi\) | |||||||
\(230\) | −4.66929 | − | 1.84339i | −0.307884 | − | 0.121550i | ||||
\(231\) | 0.238393 | + | 6.75086i | 0.0156851 | + | 0.444174i | ||||
\(232\) | −5.95876 | − | 4.11542i | −0.391211 | − | 0.270191i | ||||
\(233\) | 6.78106i | 0.444242i | 0.975019 | + | 0.222121i | \(0.0712980\pi\) | ||||
−0.975019 | + | 0.222121i | \(0.928702\pi\) | |||||||
\(234\) | 5.86875 | − | 18.6147i | 0.383652 | − | 1.21688i | ||||
\(235\) | −5.76980 | − | 5.76980i | −0.376380 | − | 0.376380i | ||||
\(236\) | 14.1412 | − | 0.472253i | 0.920517 | − | 0.0307411i | ||||
\(237\) | 8.27683 | + | 27.0344i | 0.537638 | + | 1.75607i | ||||
\(238\) | 2.34307 | − | 1.01667i | 0.151879 | − | 0.0659012i | ||||
\(239\) | −4.09048 | + | 7.08492i | −0.264591 | + | 0.458286i | −0.967456 | − | 0.253038i | \(-0.918570\pi\) |
0.702865 | + | 0.711323i | \(0.251904\pi\) | |||||||
\(240\) | 5.54041 | + | 2.48440i | 0.357632 | + | 0.160367i | ||||
\(241\) | −0.259428 | − | 0.449343i | −0.0167112 | − | 0.0289447i | 0.857549 | − | 0.514403i | \(-0.171986\pi\) |
−0.874260 | + | 0.485458i | \(0.838653\pi\) | |||||||
\(242\) | 27.8080 | + | 20.6096i | 1.78756 | + | 1.32484i | ||||
\(243\) | −6.61563 | − | 14.1150i | −0.424393 | − | 0.905478i | ||||
\(244\) | −6.90048 | − | 3.68255i | −0.441758 | − | 0.235751i | ||||
\(245\) | 1.49056 | − | 5.56285i | 0.0952285 | − | 0.355397i | ||||
\(246\) | 11.3069 | + | 13.2487i | 0.720904 | + | 0.844703i | ||||
\(247\) | −9.77552 | − | 5.64390i | −0.622002 | − | 0.359113i | ||||
\(248\) | −8.99909 | + | 7.65045i | −0.571443 | + | 0.485804i | ||||
\(249\) | −8.50141 | − | 4.51601i | −0.538755 | − | 0.286190i | ||||
\(250\) | −8.96025 | + | 7.11617i | −0.566696 | + | 0.450066i | ||||
\(251\) | −13.9609 | − | 13.9609i | −0.881207 | − | 0.881207i | 0.112450 | − | 0.993657i | \(-0.464130\pi\) |
−0.993657 | + | 0.112450i | \(0.964130\pi\) | |||||||
\(252\) | −3.87998 | − | 0.617471i | −0.244416 | − | 0.0388970i | ||||
\(253\) | 17.0580 | − | 17.0580i | 1.07243 | − | 1.07243i | ||||
\(254\) | −26.9796 | − | 3.09476i | −1.69285 | − | 0.194183i | ||||
\(255\) | 4.18424 | − | 0.147758i | 0.262027 | − | 0.00925298i | ||||
\(256\) | 9.77357 | + | 12.6680i | 0.610848 | + | 0.791748i | ||||
\(257\) | −8.72443 | + | 15.1112i | −0.544215 | + | 0.942609i | 0.454441 | + | 0.890777i | \(0.349839\pi\) |
−0.998656 | + | 0.0518315i | \(0.983494\pi\) | |||||||
\(258\) | 1.20936 | − | 1.75823i | 0.0752914 | − | 0.109463i | ||||
\(259\) | 3.85127 | + | 1.03195i | 0.239307 | + | 0.0641220i | ||||
\(260\) | −2.34585 | − | 7.71494i | −0.145483 | − | 0.478460i | ||||
\(261\) | 5.80093 | + | 5.03469i | 0.359068 | + | 0.311640i | ||||
\(262\) | 2.51412 | + | 16.9105i | 0.155323 | + | 1.04473i | ||||
\(263\) | −9.06417 | + | 5.23320i | −0.558921 | + | 0.322693i | −0.752712 | − | 0.658350i | \(-0.771255\pi\) |
0.193791 | + | 0.981043i | \(0.437921\pi\) | |||||||
\(264\) | −21.5501 | + | 19.6721i | −1.32632 | + | 1.21073i | ||||
\(265\) | 8.20687 | + | 4.73824i | 0.504144 | + | 0.291068i | ||||
\(266\) | −0.834353 | + | 2.11341i | −0.0511575 | + | 0.129581i | ||||
\(267\) | 1.98793 | − | 8.62607i | 0.121659 | − | 0.527907i | ||||
\(268\) | 0.803940 | + | 24.0733i | 0.0491084 | + | 1.47051i | ||||
\(269\) | 14.8881 | − | 14.8881i | 0.907746 | − | 0.907746i | −0.0883440 | − | 0.996090i | \(-0.528157\pi\) |
0.996090 | + | 0.0883440i | \(0.0281575\pi\) | |||||||
\(270\) | −5.55047 | − | 3.26638i | −0.337791 | − | 0.198786i | ||||
\(271\) | −1.64797 | −0.100107 | −0.0500534 | − | 0.998747i | \(-0.515939\pi\) | ||||
−0.0500534 | + | 0.998747i | \(0.515939\pi\) | |||||||
\(272\) | 9.90130 | + | 4.86659i | 0.600355 | + | 0.295080i | ||||
\(273\) | 2.76662 | + | 4.42366i | 0.167443 | + | 0.267732i | ||||
\(274\) | 4.31558 | − | 1.87256i | 0.260714 | − | 0.113125i | ||||
\(275\) | −6.52368 | − | 24.3467i | −0.393393 | − | 1.46816i | ||||
\(276\) | 7.83257 | + | 11.6407i | 0.471466 | + | 0.700686i | ||||
\(277\) | 3.13780 | − | 11.7104i | 0.188532 | − | 0.703612i | −0.805315 | − | 0.592848i | \(-0.798004\pi\) |
0.993847 | − | 0.110764i | \(-0.0353298\pi\) | |||||||
\(278\) | −15.1388 | + | 2.25072i | −0.907965 | + | 0.134989i | ||||
\(279\) | 10.3807 | − | 7.01374i | 0.621479 | − | 0.419901i | ||||
\(280\) | −1.46663 | + | 0.695437i | −0.0876479 | + | 0.0415603i | ||||
\(281\) | 2.28116 | − | 1.31703i | 0.136083 | − | 0.0785674i | −0.430413 | − | 0.902632i | \(-0.641632\pi\) |
0.566496 | + | 0.824065i | \(0.308299\pi\) | |||||||
\(282\) | 4.14772 | + | 22.4254i | 0.246993 | + | 1.33541i | ||||
\(283\) | −10.3823 | + | 2.78192i | −0.617162 | + | 0.165368i | −0.553837 | − | 0.832625i | \(-0.686837\pi\) |
−0.0633245 | + | 0.997993i | \(0.520170\pi\) | |||||||
\(284\) | −1.96924 | + | 8.47081i | −0.116853 | + | 0.502650i | ||||
\(285\) | −2.53910 | + | 2.72499i | −0.150403 | + | 0.161414i | ||||
\(286\) | 38.4977 | + | 4.41597i | 2.27642 | + | 0.261122i | ||||
\(287\) | −4.65610 | −0.274841 | ||||||||
\(288\) | −8.82328 | − | 14.4965i | −0.519917 | − | 0.854217i | ||||
\(289\) | −9.39253 | −0.552502 | ||||||||
\(290\) | 3.15271 | + | 0.361639i | 0.185133 | + | 0.0212361i | ||||
\(291\) | −3.09980 | − | 10.1248i | −0.181713 | − | 0.593526i | ||||
\(292\) | 0.297347 | − | 1.27906i | 0.0174009 | − | 0.0748512i | ||||
\(293\) | 3.95963 | − | 1.06098i | 0.231324 | − | 0.0619831i | −0.141295 | − | 0.989968i | \(-0.545127\pi\) |
0.372619 | + | 0.927984i | \(0.378460\pi\) | |||||||
\(294\) | −12.2435 | + | 10.4491i | −0.714055 | + | 0.609404i | ||||
\(295\) | −5.36954 | + | 3.10010i | −0.312627 | + | 0.180495i | ||||
\(296\) | 7.37894 | + | 15.5617i | 0.428892 | + | 0.904505i | ||||
\(297\) | 25.0166 | − | 18.2206i | 1.45161 | − | 1.05727i | ||||
\(298\) | 27.6926 | − | 4.11712i | 1.60419 | − | 0.238499i | ||||
\(299\) | 4.82254 | − | 17.9980i | 0.278895 | − | 1.04085i | ||||
\(300\) | 14.6252 | − | 1.00606i | 0.844386 | − | 0.0580850i | ||||
\(301\) | 0.147646 | + | 0.551024i | 0.00851020 | + | 0.0317605i | ||||
\(302\) | −7.63167 | + | 3.31143i | −0.439153 | + | 0.190552i | ||||
\(303\) | −10.3818 | + | 19.5438i | −0.596419 | + | 1.12276i | ||||
\(304\) | −9.28956 | + | 3.16702i | −0.532793 | + | 0.181641i | ||||
\(305\) | 3.42747 | 0.196256 | ||||||||
\(306\) | −9.86942 | − | 6.28721i | −0.564197 | − | 0.359416i | ||||
\(307\) | 5.40346 | − | 5.40346i | 0.308392 | − | 0.308392i | −0.535894 | − | 0.844286i | \(-0.680025\pi\) |
0.844286 | + | 0.535894i | \(0.180025\pi\) | |||||||
\(308\) | −0.260342 | − | 7.79574i | −0.0148344 | − | 0.444203i | ||||
\(309\) | −2.67576 | − | 2.49323i | −0.152219 | − | 0.141835i | ||||
\(310\) | 1.90063 | − | 4.81428i | 0.107949 | − | 0.273433i | ||||
\(311\) | −13.4939 | − | 7.79068i | −0.765167 | − | 0.441769i | 0.0659811 | − | 0.997821i | \(-0.478982\pi\) |
−0.831148 | + | 0.556052i | \(0.812316\pi\) | |||||||
\(312\) | −6.81781 | + | 21.4814i | −0.385982 | + | 1.21615i | ||||
\(313\) | 25.4594 | − | 14.6990i | 1.43905 | − | 0.830835i | 0.441265 | − | 0.897377i | \(-0.354530\pi\) |
0.997784 | + | 0.0665417i | \(0.0211965\pi\) | |||||||
\(314\) | −4.09074 | − | 27.5151i | −0.230854 | − | 1.55277i | ||||
\(315\) | 1.62738 | − | 0.561779i | 0.0916926 | − | 0.0316527i | ||||
\(316\) | −9.49745 | − | 31.2349i | −0.534273 | − | 1.75710i | ||||
\(317\) | 5.27629 | + | 1.41378i | 0.296346 | + | 0.0794057i | 0.403929 | − | 0.914790i | \(-0.367644\pi\) |
−0.107583 | + | 0.994196i | \(0.534311\pi\) | |||||||
\(318\) | −11.3937 | − | 23.9101i | −0.638925 | − | 1.34081i | ||||
\(319\) | −7.62485 | + | 13.2066i | −0.426909 | + | 0.739429i | ||||
\(320\) | −6.39201 | − | 2.88098i | −0.357324 | − | 0.161052i | ||||
\(321\) | −9.43920 | − | 15.0927i | −0.526845 | − | 0.842393i | ||||
\(322\) | −3.72621 | − | 0.427423i | −0.207653 | − | 0.0238194i | ||||
\(323\) | −4.78538 | + | 4.78538i | −0.266266 | + | 0.266266i | ||||
\(324\) | 7.60784 | + | 16.3132i | 0.422658 | + | 0.906289i | ||||
\(325\) | −13.7664 | − | 13.7664i | −0.763620 | − | 0.763620i | ||||
\(326\) | −7.84203 | + | 6.22808i | −0.434330 | + | 0.344942i | ||||
\(327\) | −11.9034 | + | 7.44458i | −0.658261 | + | 0.411686i | ||||
\(328\) | −13.0268 | − | 15.3232i | −0.719285 | − | 0.846083i | ||||
\(329\) | −5.27969 | − | 3.04823i | −0.291079 | − | 0.168054i | ||||
\(330\) | 4.27259 | − | 12.0513i | 0.235198 | − | 0.663400i | ||||
\(331\) | −6.68483 | + | 24.9481i | −0.367432 | + | 1.37127i | 0.496663 | + | 0.867944i | \(0.334559\pi\) |
−0.864094 | + | 0.503330i | \(0.832108\pi\) | |||||||
\(332\) | 9.80658 | + | 5.23343i | 0.538206 | + | 0.287222i | ||||
\(333\) | −5.96076 | − | 17.2674i | −0.326648 | − | 0.946245i | ||||
\(334\) | −19.0263 | − | 14.1012i | −1.04108 | − | 0.771583i | ||||
\(335\) | −5.27746 | − | 9.14082i | −0.288338 | − | 0.499416i | ||||
\(336\) | 4.47884 | + | 0.721574i | 0.244341 | + | 0.0393651i | ||||
\(337\) | −1.97680 | + | 3.42392i | −0.107683 | + | 0.186513i | −0.914831 | − | 0.403836i | \(-0.867677\pi\) |
0.807148 | + | 0.590349i | \(0.201010\pi\) | |||||||
\(338\) | 10.5914 | − | 4.59569i | 0.576097 | − | 0.249972i | ||||
\(339\) | −2.14420 | + | 2.30118i | −0.116457 | + | 0.124983i | ||||
\(340\) | −4.83186 | + | 0.161362i | −0.262045 | + | 0.00875110i | ||||
\(341\) | 17.5877 | + | 17.5877i | 0.952425 | + | 0.952425i | ||||
\(342\) | 10.1631 | − | 2.25334i | 0.549559 | − | 0.121847i | ||||
\(343\) | − | 8.88645i | − | 0.479823i | ||||||
\(344\) | −1.40033 | + | 2.02756i | −0.0755009 | + | 0.109318i | ||||
\(345\) | −5.42968 | − | 2.88428i | −0.292324 | − | 0.155285i | ||||
\(346\) | 22.1769 | + | 8.75525i | 1.19224 | + | 0.470685i | ||||
\(347\) | 4.56059 | − | 1.22201i | 0.244825 | − | 0.0656008i | −0.134320 | − | 0.990938i | \(-0.542885\pi\) |
0.379145 | + | 0.925337i | \(0.376218\pi\) | |||||||
\(348\) | −6.68719 | − | 5.82638i | −0.358471 | − | 0.312327i | ||||
\(349\) | −7.74559 | − | 2.07543i | −0.414612 | − | 0.111095i | 0.0454819 | − | 0.998965i | \(-0.485518\pi\) |
−0.460094 | + | 0.887870i | \(0.652184\pi\) | |||||||
\(350\) | −2.33343 | + | 3.14843i | −0.124727 | + | 0.168291i | ||||
\(351\) | 9.69716 | − | 21.8493i | 0.517596 | − | 1.16623i | ||||
\(352\) | 24.9274 | − | 22.6677i | 1.32863 | − | 1.20819i | ||||
\(353\) | 6.95793 | + | 12.0515i | 0.370333 | + | 0.641436i | 0.989617 | − | 0.143731i | \(-0.0459101\pi\) |
−0.619283 | + | 0.785168i | \(0.712577\pi\) | |||||||
\(354\) | 17.2752 | + | 1.36602i | 0.918164 | + | 0.0726029i | ||||
\(355\) | −0.986340 | − | 3.68107i | −0.0523495 | − | 0.195371i | ||||
\(356\) | −2.31453 | + | 9.95612i | −0.122670 | + | 0.527673i | ||||
\(357\) | 2.99112 | − | 0.915759i | 0.158307 | − | 0.0484671i | ||||
\(358\) | −10.2829 | + | 8.16660i | −0.543468 | + | 0.431618i | ||||
\(359\) | 0.491573i | 0.0259443i | 0.999916 | + | 0.0129721i | \(0.00412927\pi\) | ||||
−0.999916 | + | 0.0129721i | \(0.995871\pi\) | |||||||
\(360\) | 6.40189 | + | 3.78396i | 0.337409 | + | 0.199432i | ||||
\(361\) | 12.9796i | 0.683138i | ||||||||
\(362\) | −19.2641 | − | 24.2562i | −1.01250 | − | 1.27488i | ||||
\(363\) | 31.0147 | + | 28.8989i | 1.62785 | + | 1.51680i | ||||
\(364\) | −3.18483 | − | 5.11411i | −0.166930 | − | 0.268052i | ||||
\(365\) | 0.148933 | + | 0.555827i | 0.00779553 | + | 0.0290933i | ||||
\(366\) | −7.89270 | − | 5.42880i | −0.412558 | − | 0.283768i | ||||
\(367\) | 3.97080 | + | 6.87763i | 0.207274 | + | 0.359010i | 0.950855 | − | 0.309637i | \(-0.100207\pi\) |
−0.743581 | + | 0.668646i | \(0.766874\pi\) | |||||||
\(368\) | −9.01852 | − | 13.4588i | −0.470123 | − | 0.701587i | ||||
\(369\) | 11.9426 | + | 17.6758i | 0.621709 | + | 0.920166i | ||||
\(370\) | −6.06327 | − | 4.49374i | −0.315214 | − | 0.233618i | ||||
\(371\) | 6.83901 | + | 1.83251i | 0.355064 | + | 0.0951390i | ||||
\(372\) | −12.0021 | + | 8.07579i | −0.622282 | + | 0.418710i | ||||
\(373\) | 21.8895 | − | 5.86527i | 1.13340 | − | 0.303692i | 0.357103 | − | 0.934065i | \(-0.383765\pi\) |
0.776293 | + | 0.630373i | \(0.217098\pi\) | |||||||
\(374\) | 8.53120 | − | 21.6094i | 0.441138 | − | 1.11740i | ||||
\(375\) | −11.8815 | + | 7.43088i | −0.613560 | + | 0.383729i | ||||
\(376\) | −4.73977 | − | 25.9038i | −0.244435 | − | 1.33588i | ||||
\(377\) | 11.7787i | 0.606635i | ||||||||
\(378\) | −4.63731 | − | 1.28397i | −0.238517 | − | 0.0660405i | ||||
\(379\) | −24.5680 | − | 24.5680i | −1.26197 | − | 1.26197i | −0.950135 | − | 0.311839i | \(-0.899055\pi\) |
−0.311839 | − | 0.950135i | \(-0.600945\pi\) | |||||||
\(380\) | 2.93792 | − | 3.14093i | 0.150712 | − | 0.161126i | ||||
\(381\) | −32.4103 | − | 7.46914i | −1.66043 | − | 0.382655i | ||||
\(382\) | 1.94816 | + | 4.48980i | 0.0996764 | + | 0.229718i | ||||
\(383\) | 3.67713 | − | 6.36897i | 0.187892 | − | 0.325439i | −0.756655 | − | 0.653814i | \(-0.773168\pi\) |
0.944547 | + | 0.328375i | \(0.106501\pi\) | |||||||
\(384\) | 10.1562 | + | 16.7586i | 0.518280 | + | 0.855211i | ||||
\(385\) | 1.70901 | + | 2.96010i | 0.0870995 | + | 0.150861i | ||||
\(386\) | −8.30948 | + | 11.2117i | −0.422941 | + | 0.570663i | ||||
\(387\) | 1.71313 | − | 1.97385i | 0.0870833 | − | 0.100337i | ||||
\(388\) | 3.55694 | + | 11.6979i | 0.180576 | + | 0.593873i | ||||
\(389\) | −4.98406 | + | 18.6007i | −0.252702 | + | 0.943095i | 0.716653 | + | 0.697430i | \(0.245673\pi\) |
−0.969355 | + | 0.245665i | \(0.920994\pi\) | |||||||
\(390\) | −1.79616 | − | 9.71126i | −0.0909521 | − | 0.491749i | ||||
\(391\) | −9.67459 | − | 5.58563i | −0.489265 | − | 0.282477i | ||||
\(392\) | 14.1607 | − | 12.0385i | 0.715221 | − | 0.608035i | ||||
\(393\) | 0.738947 | + | 20.9256i | 0.0372750 | + | 1.05556i | ||||
\(394\) | −6.16062 | − | 7.75709i | −0.310368 | − | 0.390796i | ||||
\(395\) | 10.1159 | + | 10.1159i | 0.508985 | + | 0.508985i | ||||
\(396\) | −28.9269 | + | 20.9840i | −1.45363 | + | 1.05448i | ||||
\(397\) | −23.3235 | + | 23.3235i | −1.17057 | + | 1.17057i | −0.188500 | + | 0.982073i | \(0.560362\pi\) |
−0.982073 | + | 0.188500i | \(0.939638\pi\) | |||||||
\(398\) | 3.12631 | − | 27.2547i | 0.156708 | − | 1.36615i | ||||
\(399\) | −1.30548 | + | 2.45757i | −0.0653558 | + | 0.123033i | ||||
\(400\) | −16.8899 | + | 1.12935i | −0.844496 | + | 0.0564676i | ||||
\(401\) | −4.61036 | + | 7.98538i | −0.230231 | + | 0.398771i | −0.957876 | − | 0.287183i | \(-0.907281\pi\) |
0.727645 | + | 0.685954i | \(0.240615\pi\) | |||||||
\(402\) | −2.32543 | + | 29.4083i | −0.115982 | + | 1.46675i | ||||
\(403\) | 18.5568 | + | 4.97229i | 0.924382 | + | 0.247687i | ||||
\(404\) | 12.0311 | − | 22.5442i | 0.598568 | − | 1.12162i | ||||
\(405\) | −6.30681 | − | 4.73704i | −0.313388 | − | 0.235386i | ||||
\(406\) | 2.34519 | − | 0.348664i | 0.116390 | − | 0.0173039i | ||||
\(407\) | 31.4082 | − | 18.1335i | 1.55685 | − | 0.898845i | ||||
\(408\) | 11.3823 | + | 7.28166i | 0.563508 | + | 0.360496i | ||||
\(409\) | −17.2773 | − | 9.97503i | −0.854306 | − | 0.493234i | 0.00779552 | − | 0.999970i | \(-0.497519\pi\) |
−0.862101 | + | 0.506736i | \(0.830852\pi\) | |||||||
\(410\) | 8.19752 | + | 3.23630i | 0.404846 | + | 0.159830i | ||||
\(411\) | 5.50919 | − | 1.68669i | 0.271748 | − | 0.0831982i | ||||
\(412\) | 3.08419 | + | 2.88485i | 0.151947 | + | 0.142126i | ||||
\(413\) | −3.27562 | + | 3.27562i | −0.161183 | + | 0.161183i | ||||
\(414\) | 7.93491 | + | 15.2420i | 0.389979 | + | 0.749104i | ||||
\(415\) | −4.87092 | −0.239104 | ||||||||
\(416\) | 7.92002 | − | 24.7895i | 0.388311 | − | 1.21540i | ||||
\(417\) | −18.7333 | + | 0.661529i | −0.917373 | + | 0.0323952i | ||||
\(418\) | 8.22669 | + | 18.9596i | 0.402380 | + | 0.927343i | ||||
\(419\) | 7.85913 | + | 29.3307i | 0.383943 | + | 1.43290i | 0.839826 | + | 0.542856i | \(0.182657\pi\) |
−0.455882 | + | 0.890040i | \(0.650676\pi\) | |||||||
\(420\) | −1.88038 | + | 0.645086i | −0.0917530 | + | 0.0314770i | ||||
\(421\) | −2.70420 | + | 10.0922i | −0.131795 | + | 0.491864i | −0.999991 | − | 0.00435733i | \(-0.998613\pi\) |
0.868196 | + | 0.496222i | \(0.165280\pi\) | |||||||
\(422\) | 0.401591 | + | 2.70118i | 0.0195491 | + | 0.131491i | ||||
\(423\) | 1.97022 | + | 27.8617i | 0.0957952 | + | 1.35468i | ||||
\(424\) | 13.1034 | + | 27.6341i | 0.636356 | + | 1.34203i | ||||
\(425\) | −10.1085 | + | 5.83615i | −0.490335 | + | 0.283095i | ||||
\(426\) | −3.55917 | + | 10.0390i | −0.172442 | + | 0.486390i | ||||
\(427\) | 2.47354 | − | 0.662784i | 0.119703 | − | 0.0320744i | ||||
\(428\) | 10.8660 | + | 17.4484i | 0.525230 | + | 0.843401i | ||||
\(429\) | 46.2468 | + | 10.6578i | 2.23282 | + | 0.514565i | ||||
\(430\) | 0.123053 | − | 1.07276i | 0.00593414 | − | 0.0517329i | ||||
\(431\) | 11.3639 | 0.547382 | 0.273691 | − | 0.961818i | \(-0.411756\pi\) | ||||
0.273691 | + | 0.961818i | \(0.411756\pi\) | |||||||
\(432\) | −8.74868 | − | 18.8537i | −0.420921 | − | 0.907097i | ||||
\(433\) | −9.65126 | −0.463810 | −0.231905 | − | 0.972738i | \(-0.574496\pi\) | ||||
−0.231905 | + | 0.972738i | \(0.574496\pi\) | |||||||
\(434\) | 0.440696 | − | 3.84192i | 0.0211541 | − | 0.184418i | ||||
\(435\) | 3.78731 | + | 0.872807i | 0.181588 | + | 0.0418479i | ||||
\(436\) | 13.7613 | − | 8.56992i | 0.659049 | − | 0.410425i | ||||
\(437\) | 9.59925 | − | 2.57211i | 0.459194 | − | 0.123041i | ||||
\(438\) | 0.537420 | − | 1.51584i | 0.0256789 | − | 0.0724299i | ||||
\(439\) | −13.6132 | + | 7.85957i | −0.649722 | + | 0.375117i | −0.788350 | − | 0.615228i | \(-0.789064\pi\) |
0.138628 | + | 0.990345i | \(0.455731\pi\) | |||||||
\(440\) | −4.96021 | + | 13.9061i | −0.236469 | + | 0.662948i | ||||
\(441\) | −16.3348 | + | 11.0366i | −0.777846 | + | 0.525551i | ||||
\(442\) | −2.63886 | − | 17.7495i | −0.125518 | − | 0.844256i | ||||
\(443\) | −4.97116 | + | 18.5526i | −0.236187 | + | 0.881461i | 0.741424 | + | 0.671037i | \(0.234151\pi\) |
−0.977610 | + | 0.210424i | \(0.932516\pi\) | |||||||
\(444\) | 6.84470 | + | 19.9518i | 0.324835 | + | 0.946869i | ||||
\(445\) | −1.15929 | − | 4.32653i | −0.0549556 | − | 0.205097i | ||||
\(446\) | 7.38757 | + | 17.0257i | 0.349812 | + | 0.806191i | ||||
\(447\) | 34.2678 | − | 1.21010i | 1.62081 | − | 0.0572358i | ||||
\(448\) | −5.17011 | − | 0.843106i | −0.244265 | − | 0.0398330i | ||||
\(449\) | 35.3101 | 1.66639 | 0.833194 | − | 0.552982i | \(-0.186510\pi\) | ||||
0.833194 | + | 0.552982i | \(0.186510\pi\) | |||||||
\(450\) | 17.9374 | + | 0.782772i | 0.845577 | + | 0.0369002i | ||||
\(451\) | −29.9474 | + | 29.9474i | −1.41017 | + | 1.41017i | ||||
\(452\) | 2.48099 | − | 2.65243i | 0.116696 | − | 0.124760i | ||||
\(453\) | −9.74244 | + | 2.98274i | −0.457740 | + | 0.140141i | ||||
\(454\) | −5.47882 | − | 2.16299i | −0.257134 | − | 0.101514i | ||||
\(455\) | 2.28636 | + | 1.32003i | 0.107186 | + | 0.0618839i | ||||
\(456\) | −11.7403 | + | 2.57945i | −0.549791 | + | 0.120794i | ||||
\(457\) | 0.565406 | − | 0.326437i | 0.0264486 | − | 0.0152701i | −0.486717 | − | 0.873559i | \(-0.661806\pi\) |
0.513166 | + | 0.858289i | \(0.328473\pi\) | |||||||
\(458\) | −39.0701 | + | 5.80865i | −1.82563 | + | 0.271420i | ||||
\(459\) | −11.1485 | − | 9.00622i | −0.520369 | − | 0.420374i | ||||
\(460\) | 6.26326 | + | 3.34249i | 0.292026 | + | 0.155844i | ||||
\(461\) | −3.91317 | − | 1.04853i | −0.182255 | − | 0.0488350i | 0.166537 | − | 0.986035i | \(-0.446741\pi\) |
−0.348792 | + | 0.937200i | \(0.613408\pi\) | |||||||
\(462\) | 0.753052 | − | 9.52339i | 0.0350352 | − | 0.443068i | ||||
\(463\) | −21.0971 | + | 36.5413i | −0.980466 | + | 1.69822i | −0.319894 | + | 0.947453i | \(0.603647\pi\) |
−0.660571 | + | 0.750763i | \(0.729686\pi\) | |||||||
\(464\) | 7.70880 | + | 6.74250i | 0.357872 | + | 0.313013i | ||||
\(465\) | 2.97385 | − | 5.59828i | 0.137909 | − | 0.259614i | ||||
\(466\) | 1.09286 | − | 9.52739i | 0.0506258 | − | 0.441348i | ||||
\(467\) | −0.180878 | + | 0.180878i | −0.00837005 | + | 0.00837005i | −0.711279 | − | 0.702909i | \(-0.751884\pi\) |
0.702909 | + | 0.711279i | \(0.251884\pi\) | |||||||
\(468\) | −11.2456 | + | 25.2079i | −0.519829 | + | 1.16523i | ||||
\(469\) | −5.57625 | − | 5.57625i | −0.257487 | − | 0.257487i | ||||
\(470\) | 7.17668 | + | 9.03645i | 0.331036 | + | 0.416820i | ||||
\(471\) | −1.20234 | − | 34.0482i | −0.0554011 | − | 1.56886i | ||||
\(472\) | −19.9446 | − | 1.61554i | −0.918023 | − | 0.0743613i | ||||
\(473\) | 4.49375 | + | 2.59447i | 0.206623 | + | 0.119294i | ||||
\(474\) | −7.27198 | − | 39.3173i | −0.334013 | − | 1.80590i | ||||
\(475\) | 2.68747 | − | 10.0298i | 0.123310 | − | 0.460198i | ||||
\(476\) | −3.45587 | + | 1.05081i | −0.158399 | + | 0.0481638i | ||||
\(477\) | −10.5850 | − | 30.6630i | −0.484654 | − | 1.40396i | ||||
\(478\) | 6.88896 | − | 9.29508i | 0.315094 | − | 0.425147i | ||||
\(479\) | 6.98122 | + | 12.0918i | 0.318980 | + | 0.552490i | 0.980276 | − | 0.197636i | \(-0.0633264\pi\) |
−0.661295 | + | 0.750126i | \(0.729993\pi\) | |||||||
\(480\) | −7.38388 | − | 4.38349i | −0.337027 | − | 0.200078i | ||||
\(481\) | 14.0062 | − | 24.2594i | 0.638627 | − | 1.10613i | ||||
\(482\) | 0.292079 | + | 0.673138i | 0.0133038 | + | 0.0306606i | ||||
\(483\) | −4.47625 | − | 1.03158i | −0.203677 | − | 0.0469384i | ||||
\(484\) | −35.7487 | − | 33.4381i | −1.62494 | − | 1.51992i | ||||
\(485\) | −3.78855 | − | 3.78855i | −0.172029 | − | 0.172029i | ||||
\(486\) | 7.02013 | + | 20.8978i | 0.318440 | + | 0.947943i | ||||
\(487\) | 2.93338i | 0.132924i | 0.997789 | + | 0.0664621i | \(0.0211712\pi\) | ||||
−0.997789 | + | 0.0664621i | \(0.978829\pi\) | |||||||
\(488\) | 9.10168 | + | 6.28609i | 0.412014 | + | 0.284558i | ||||
\(489\) | −10.3987 | + | 6.50352i | −0.470247 | + | 0.294099i | ||||
\(490\) | −2.99077 | + | 7.57558i | −0.135109 | + | 0.342230i | ||||
\(491\) | 17.7814 | − | 4.76452i | 0.802465 | − | 0.215020i | 0.165799 | − | 0.986160i | \(-0.446980\pi\) |
0.636666 | + | 0.771140i | \(0.280313\pi\) | |||||||
\(492\) | −13.7511 | − | 20.4366i | −0.619946 | − | 0.921355i | ||||
\(493\) | 6.82126 | + | 1.82775i | 0.307214 | + | 0.0823178i | ||||
\(494\) | 12.8250 | + | 9.50515i | 0.577025 | + | 0.427657i | ||||
\(495\) | 6.85380 | − | 14.0804i | 0.308056 | − | 0.632866i | ||||
\(496\) | 13.8767 | − | 9.29856i | 0.623082 | − | 0.417518i | ||||
\(497\) | −1.42365 | − | 2.46583i | −0.0638594 | − | 0.110608i | ||||
\(498\) | 11.2167 | + | 7.71511i | 0.502631 | + | 0.345722i | ||||
\(499\) | −4.74054 | − | 17.6919i | −0.212216 | − | 0.791999i | −0.987128 | − | 0.159931i | \(-0.948873\pi\) |
0.774913 | − | 0.632068i | \(-0.217794\pi\) | |||||||
\(500\) | 13.7360 | − | 8.55415i | 0.614294 | − | 0.382553i | ||||
\(501\) | −21.2204 | − | 19.7728i | −0.948057 | − | 0.883383i | ||||
\(502\) | 17.3651 | + | 21.8651i | 0.775044 | + | 0.975889i | ||||
\(503\) | − | 7.01136i | − | 0.312621i | −0.987708 | − | 0.156311i | \(-0.950040\pi\) | ||
0.987708 | − | 0.156311i | \(-0.0499601\pi\) | |||||||
\(504\) | 5.35185 | + | 1.49286i | 0.238391 | + | 0.0664972i | ||||
\(505\) | 11.1977i | 0.498292i | ||||||||
\(506\) | −26.7156 | + | 21.2173i | −1.18765 | + | 0.943225i | ||||
\(507\) | 13.5208 | − | 4.13952i | 0.600480 | − | 0.183842i | ||||
\(508\) | 37.4076 | + | 8.69628i | 1.65969 | + | 0.385835i | ||||
\(509\) | 1.25064 | + | 4.66745i | 0.0554336 | + | 0.206881i | 0.988088 | − | 0.153890i | \(-0.0491802\pi\) |
−0.932654 | + | 0.360771i | \(0.882514\pi\) | |||||||
\(510\) | −5.90267 | − | 0.466748i | −0.261375 | − | 0.0206679i | ||||
\(511\) | 0.214965 | + | 0.372331i | 0.00950950 | + | 0.0164709i | ||||
\(512\) | −11.6902 | − | 19.3736i | −0.516641 | − | 0.856202i | ||||
\(513\) | 12.6781 | − | 1.34759i | 0.559751 | − | 0.0594975i | ||||
\(514\) | 14.6932 | − | 19.8251i | 0.648090 | − | 0.874449i | ||||
\(515\) | −1.78752 | − | 0.478965i | −0.0787676 | − | 0.0211057i | ||||
\(516\) | −1.98251 | + | 2.27541i | −0.0872753 | + | 0.100170i | ||||
\(517\) | −53.5640 | + | 14.3524i | −2.35574 | + | 0.631219i | ||||
\(518\) | −5.24473 | − | 2.07057i | −0.230440 | − | 0.0909756i | ||||
\(519\) | 25.7885 | + | 13.6990i | 1.13199 | + | 0.601320i | ||||
\(520\) | 2.05255 | + | 11.2176i | 0.0900101 | + | 0.491922i | ||||
\(521\) | − | 28.0687i | − | 1.22971i | −0.788640 | − | 0.614855i | \(-0.789215\pi\) | ||
0.788640 | − | 0.614855i | \(-0.210785\pi\) | |||||||
\(522\) | −7.33889 | − | 8.00865i | −0.321215 | − | 0.350529i | ||||
\(523\) | 14.5264 | + | 14.5264i | 0.635193 | + | 0.635193i | 0.949366 | − | 0.314173i | \(-0.101727\pi\) |
−0.314173 | + | 0.949366i | \(0.601727\pi\) | |||||||
\(524\) | −0.806982 | − | 24.1644i | −0.0352532 | − | 1.05563i | ||||
\(525\) | −3.27195 | + | 3.51149i | −0.142800 | + | 0.153254i | ||||
\(526\) | 13.5786 | − | 5.89183i | 0.592054 | − | 0.256896i | ||||
\(527\) | 5.75907 | − | 9.97501i | 0.250869 | − | 0.434518i | ||||
\(528\) | 33.4483 | − | 24.1662i | 1.45565 | − | 1.05170i | ||||
\(529\) | −3.29774 | − | 5.71185i | −0.143380 | − | 0.248341i | ||||
\(530\) | −10.7670 | − | 7.97988i | −0.467689 | − | 0.346624i | ||||
\(531\) | 20.8369 | + | 4.03335i | 0.904246 | + | 0.175032i | ||||
\(532\) | 1.51287 | − | 2.83487i | 0.0655913 | − | 0.122907i | ||||
\(533\) | −8.46657 | + | 31.5977i | −0.366728 | + | 1.36865i | ||||
\(534\) | −4.18325 | + | 11.7993i | −0.181027 | + | 0.510604i | ||||
\(535\) | −7.80063 | − | 4.50370i | −0.337251 | − | 0.194712i | ||||
\(536\) | 2.75021 | − | 33.9526i | 0.118791 | − | 1.46653i | ||||
\(537\) | −13.6354 | + | 8.52777i | −0.588411 | + | 0.368001i | ||||
\(538\) | −23.3173 | + | 18.5184i | −1.00528 | + | 0.798386i | ||||
\(539\) | −27.6753 | − | 27.6753i | −1.19206 | − | 1.19206i | ||||
\(540\) | 7.27198 | + | 5.48380i | 0.312936 | + | 0.235985i | ||||
\(541\) | 18.4081 | − | 18.4081i | 0.791427 | − | 0.791427i | −0.190299 | − | 0.981726i | \(-0.560946\pi\) |
0.981726 | + | 0.190299i | \(0.0609458\pi\) | |||||||
\(542\) | 2.31539 | + | 0.265593i | 0.0994547 | + | 0.0114082i | ||||
\(543\) | −20.1161 | − | 32.1644i | −0.863264 | − | 1.38031i | ||||
\(544\) | −13.1270 | − | 8.43329i | −0.562816 | − | 0.361575i | ||||
\(545\) | −3.55201 | + | 6.15226i | −0.152151 | + | 0.263534i | ||||
\(546\) | −3.17417 | − | 6.66112i | −0.135842 | − | 0.285070i | ||||
\(547\) | −15.9583 | − | 4.27602i | −0.682328 | − | 0.182829i | −0.0990263 | − | 0.995085i | \(-0.531573\pi\) |
−0.583302 | + | 0.812256i | \(0.698239\pi\) | |||||||
\(548\) | −6.36518 | + | 1.93543i | −0.271907 | + | 0.0826775i | ||||
\(549\) | −8.86061 | − | 7.69023i | −0.378162 | − | 0.328211i | ||||
\(550\) | 5.24197 | + | 35.2585i | 0.223518 | + | 1.50343i | ||||
\(551\) | −5.44055 | + | 3.14110i | −0.231775 | + | 0.133816i | ||||
\(552\) | −9.12871 | − | 17.6175i | −0.388544 | − | 0.749849i | ||||
\(553\) | 9.25660 | + | 5.34430i | 0.393631 | + | 0.227263i | ||||
\(554\) | −6.29591 | + | 15.9475i | −0.267488 | + | 0.677543i | ||||
\(555\) | −6.76246 | − | 6.30115i | −0.287051 | − | 0.267469i | ||||
\(556\) | 21.6328 | − | 0.722436i | 0.917433 | − | 0.0306381i | ||||
\(557\) | −15.4219 | + | 15.4219i | −0.653447 | + | 0.653447i | −0.953821 | − | 0.300375i | \(-0.902888\pi\) |
0.300375 | + | 0.953821i | \(0.402888\pi\) | |||||||
\(558\) | −15.7153 | + | 8.18130i | −0.665282 | + | 0.346342i | ||||
\(559\) | 4.00789 | 0.169516 | ||||||||
\(560\) | 2.17270 | − | 0.740721i | 0.0918131 | − | 0.0313012i | ||||
\(561\) | 13.3484 | − | 25.1285i | 0.563571 | − | 1.06093i | ||||
\(562\) | −3.41729 | + | 1.48279i | −0.144150 | + | 0.0625476i | ||||
\(563\) | 1.67165 | + | 6.23868i | 0.0704516 | + | 0.262929i | 0.992164 | − | 0.124946i | \(-0.0398759\pi\) |
−0.921712 | + | 0.387875i | \(0.873209\pi\) | |||||||
\(564\) | −2.21339 | − | 32.1762i | −0.0932004 | − | 1.35486i | ||||
\(565\) | −0.411914 | + | 1.53728i | −0.0173293 | + | 0.0646740i | ||||
\(566\) | 15.0354 | − | 2.23535i | 0.631986 | − | 0.0939589i | ||||
\(567\) | −5.46754 | − | 2.19907i | −0.229615 | − | 0.0923521i | ||||
\(568\) | 4.13197 | − | 11.5841i | 0.173374 | − | 0.486059i | ||||
\(569\) | 7.90864 | − | 4.56605i | 0.331547 | − | 0.191419i | −0.324981 | − | 0.945721i | \(-0.605358\pi\) |
0.656528 | + | 0.754302i | \(0.272024\pi\) | |||||||
\(570\) | 4.00660 | − | 3.41940i | 0.167818 | − | 0.143223i | ||||
\(571\) | 27.5804 | − | 7.39016i | 1.15421 | − | 0.309268i | 0.369556 | − | 0.929208i | \(-0.379510\pi\) |
0.784649 | + | 0.619940i | \(0.212843\pi\) | |||||||
\(572\) | −53.3776 | − | 12.4089i | −2.23183 | − | 0.518841i | ||||
\(573\) | 1.75478 | + | 5.73160i | 0.0733071 | + | 0.239441i | ||||
\(574\) | 6.54182 | + | 0.750395i | 0.273050 | + | 0.0313209i | ||||
\(575\) | 17.1403 | 0.714799 | ||||||||
\(576\) | 10.0604 | + | 21.7896i | 0.419183 | + | 0.907902i | ||||
\(577\) | 0.350515 | 0.0145921 | 0.00729607 | − | 0.999973i | \(-0.497678\pi\) | ||||
0.00729607 | + | 0.999973i | \(0.497678\pi\) | |||||||
\(578\) | 13.1965 | + | 1.51374i | 0.548902 | + | 0.0629631i | ||||
\(579\) | −11.6516 | + | 12.5046i | −0.484224 | + | 0.519675i | ||||
\(580\) | −4.37127 | − | 1.01620i | −0.181507 | − | 0.0421956i | ||||
\(581\) | −3.51526 | + | 0.941911i | −0.145838 | + | 0.0390771i | ||||
\(582\) | 2.72347 | + | 14.7249i | 0.112891 | + | 0.610367i | ||||
\(583\) | 55.7739 | − | 32.2011i | 2.30992 | − | 1.33363i | ||||
\(584\) | −0.623910 | + | 1.74915i | −0.0258176 | + | 0.0723805i | ||||
\(585\) | −0.853197 | − | 12.0654i | −0.0352754 | − | 0.498844i | ||||
\(586\) | −5.73427 | + | 0.852527i | −0.236881 | + | 0.0352176i | ||||
\(587\) | 0.259943 | − | 0.970122i | 0.0107290 | − | 0.0400412i | −0.960354 | − | 0.278784i | \(-0.910069\pi\) |
0.971083 | + | 0.238743i | \(0.0767353\pi\) | |||||||
\(588\) | 18.8861 | − | 12.7078i | 0.778851 | − | 0.524060i | ||||
\(589\) | 2.65198 | + | 9.89733i | 0.109273 | + | 0.407812i | ||||
\(590\) | 8.04383 | − | 3.49027i | 0.331159 | − | 0.143692i | ||||
\(591\) | −6.43308 | − | 10.2861i | −0.264621 | − | 0.423114i | ||||
\(592\) | −7.85943 | − | 23.0534i | −0.323021 | − | 0.947489i | ||||
\(593\) | 7.12791 | 0.292708 | 0.146354 | − | 0.989232i | \(-0.453246\pi\) | ||||
0.146354 | + | 0.989232i | \(0.453246\pi\) | |||||||
\(594\) | −38.0849 | + | 21.5682i | −1.56264 | + | 0.884953i | ||||
\(595\) | 1.11923 | − | 1.11923i | 0.0458841 | − | 0.0458841i | ||||
\(596\) | −39.5717 | + | 1.32151i | −1.62092 | + | 0.0541313i | ||||
\(597\) | 7.54528 | − | 32.7407i | 0.308808 | − | 1.33999i | ||||
\(598\) | −9.67629 | + | 24.5099i | −0.395693 | + | 1.00229i | ||||
\(599\) | −1.83973 | − | 1.06217i | −0.0751695 | − | 0.0433991i | 0.461944 | − | 0.886909i | \(-0.347152\pi\) |
−0.537114 | + | 0.843510i | \(0.680485\pi\) | |||||||
\(600\) | −20.7106 | − | 0.943536i | −0.845505 | − | 0.0385197i | ||||
\(601\) | 32.6223 | − | 18.8345i | 1.33069 | − | 0.768275i | 0.345286 | − | 0.938497i | \(-0.387782\pi\) |
0.985406 | + | 0.170222i | \(0.0544485\pi\) | |||||||
\(602\) | −0.118638 | − | 0.797984i | −0.00483533 | − | 0.0325234i | ||||
\(603\) | −6.86616 | + | 35.4717i | −0.279612 | + | 1.44452i | ||||
\(604\) | 11.2562 | − | 3.42262i | 0.458007 | − | 0.139264i | ||||
\(605\) | 20.7191 | + | 5.55166i | 0.842351 | + | 0.225707i | ||||
\(606\) | 17.7362 | − | 25.7859i | 0.720483 | − | 1.04748i | ||||
\(607\) | 10.2096 | − | 17.6835i | 0.414393 | − | 0.717750i | −0.580971 | − | 0.813924i | \(-0.697327\pi\) |
0.995365 | + | 0.0961740i | \(0.0306605\pi\) | |||||||
\(608\) | 13.5622 | − | 2.95253i | 0.550022 | − | 0.119741i | ||||
\(609\) | 2.90201 | − | 0.102479i | 0.117596 | − | 0.00415266i | ||||
\(610\) | −4.81559 | − | 0.552384i | −0.194978 | − | 0.0223654i | ||||
\(611\) | −30.2867 | + | 30.2867i | −1.22527 | + | 1.22527i | ||||
\(612\) | 12.8533 | + | 10.4241i | 0.519563 | + | 0.421370i | ||||
\(613\) | −10.2801 | − | 10.2801i | −0.415208 | − | 0.415208i | 0.468340 | − | 0.883548i | \(-0.344852\pi\) |
−0.883548 | + | 0.468340i | \(0.844852\pi\) | |||||||
\(614\) | −8.46271 | + | 6.72103i | −0.341527 | + | 0.271239i | ||||
\(615\) | 9.53248 | + | 5.06372i | 0.384387 | + | 0.204189i | ||||
\(616\) | −0.890610 | + | 10.9950i | −0.0358837 | + | 0.443000i | ||||
\(617\) | −41.2817 | − | 23.8340i | −1.66194 | − | 0.959521i | −0.971788 | − | 0.235856i | \(-0.924210\pi\) |
−0.690152 | − | 0.723665i | \(-0.742456\pi\) | |||||||
\(618\) | 3.35763 | + | 3.93423i | 0.135064 | + | 0.158258i | ||||
\(619\) | −1.41291 | + | 5.27305i | −0.0567896 | + | 0.211942i | −0.988490 | − | 0.151286i | \(-0.951659\pi\) |
0.931700 | + | 0.363228i | \(0.118325\pi\) | |||||||
\(620\) | −3.44628 | + | 6.45775i | −0.138406 | + | 0.259350i | ||||
\(621\) | 7.56520 | + | 19.6390i | 0.303581 | + | 0.788085i | ||||
\(622\) | 17.7033 | + | 13.1206i | 0.709838 | + | 0.526090i | ||||
\(623\) | −1.67328 | − | 2.89820i | −0.0670385 | − | 0.116114i | ||||
\(624\) | 13.0411 | − | 29.0826i | 0.522060 | − | 1.16424i | ||||
\(625\) | 7.03430 | − | 12.1838i | 0.281372 | − | 0.487350i | ||||
\(626\) | −38.1394 | + | 16.5489i | −1.52436 | + | 0.661428i | ||||
\(627\) | 7.41010 | + | 24.2034i | 0.295931 | + | 0.966592i | ||||
\(628\) | 1.31304 | + | 39.3180i | 0.0523961 | + | 1.56896i | ||||
\(629\) | −11.8756 | − | 11.8756i | −0.473513 | − | 0.473513i | ||||
\(630\) | −2.37701 | + | 0.527025i | −0.0947023 | + | 0.0209972i | ||||
\(631\) | 20.7362i | 0.825496i | 0.910845 | + | 0.412748i | \(0.135431\pi\) | ||||
−0.910845 | + | 0.412748i | \(0.864569\pi\) | |||||||
\(632\) | 8.30999 | + | 45.4157i | 0.330554 | + | 1.80654i | ||||
\(633\) | 0.118035 | + | 3.34254i | 0.00469148 | + | 0.132854i | ||||
\(634\) | −7.18534 | − | 2.83671i | −0.285366 | − | 0.112660i | ||||
\(635\) | −16.2558 | + | 4.35574i | −0.645094 | + | 0.172852i | ||||
\(636\) | 12.1547 | + | 35.4299i | 0.481964 | + | 1.40489i | ||||
\(637\) | −29.2004 | − | 7.82422i | −1.15696 | − | 0.310007i | ||||
\(638\) | 12.8413 | − | 17.3265i | 0.508394 | − | 0.685961i | ||||
\(639\) | −5.70938 | + | 11.7293i | −0.225860 | + | 0.464003i | ||||
\(640\) | 8.51647 | + | 5.07794i | 0.336643 | + | 0.200723i | ||||
\(641\) | 3.67059 | + | 6.35766i | 0.144980 | + | 0.251112i | 0.929365 | − | 0.369161i | \(-0.120355\pi\) |
−0.784386 | + | 0.620273i | \(0.787022\pi\) | |||||||
\(642\) | 10.8297 | + | 22.7265i | 0.427413 | + | 0.896945i | ||||
\(643\) | −2.23207 | − | 8.33019i | −0.0880241 | − | 0.328511i | 0.907846 | − | 0.419305i | \(-0.137726\pi\) |
−0.995870 | + | 0.0907942i | \(0.971059\pi\) | |||||||
\(644\) | 5.16644 | + | 1.20106i | 0.203586 | + | 0.0473284i | ||||
\(645\) | 0.296986 | − | 1.28869i | 0.0116938 | − | 0.0507421i | ||||
\(646\) | 7.49470 | − | 5.95223i | 0.294875 | − | 0.234188i | ||||
\(647\) | − | 11.6387i | − | 0.457566i | −0.973477 | − | 0.228783i | \(-0.926525\pi\) | ||
0.973477 | − | 0.228783i | \(-0.0734746\pi\) | |||||||
\(648\) | −8.05992 | − | 24.1462i | −0.316624 | − | 0.948551i | ||||
\(649\) | 42.1367i | 1.65401i | ||||||||
\(650\) | 17.1231 | + | 21.5604i | 0.671623 | + | 0.845668i | ||||
\(651\) | 1.06361 | − | 4.61525i | 0.0416862 | − | 0.180886i | ||||
\(652\) | 12.0218 | − | 7.48661i | 0.470810 | − | 0.293198i | ||||
\(653\) | −5.20569 | − | 19.4279i | −0.203715 | − | 0.760273i | −0.989838 | − | 0.142203i | \(-0.954581\pi\) |
0.786123 | − | 0.618070i | \(-0.212085\pi\) | |||||||
\(654\) | 17.9241 | − | 8.54123i | 0.700889 | − | 0.333989i | ||||
\(655\) | 5.29742 | + | 9.17541i | 0.206988 | + | 0.358513i | ||||
\(656\) | 15.8331 | + | 23.6286i | 0.618180 | + | 0.922540i | ||||
\(657\) | 0.862093 | − | 1.77107i | 0.0336335 | − | 0.0690962i | ||||
\(658\) | 6.92670 | + | 5.13366i | 0.270031 | + | 0.200131i | ||||
\(659\) | −14.5489 | − | 3.89836i | −0.566744 | − | 0.151859i | −0.0359413 | − | 0.999354i | \(-0.511443\pi\) |
−0.530803 | + | 0.847495i | \(0.678110\pi\) | |||||||
\(660\) | −7.94522 | + | 16.2434i | −0.309267 | + | 0.632274i | ||||
\(661\) | −9.83468 | + | 2.63519i | −0.382525 | + | 0.102497i | −0.444957 | − | 0.895552i | \(-0.646781\pi\) |
0.0624321 | + | 0.998049i | \(0.480114\pi\) | |||||||
\(662\) | 13.4129 | − | 33.9748i | 0.521308 | − | 1.32047i | ||||
\(663\) | −0.775609 | − | 21.9638i | −0.0301222 | − | 0.853004i | ||||
\(664\) | −12.9348 | − | 8.93344i | −0.501968 | − | 0.346685i | ||||
\(665\) | 1.40808i | 0.0546030i | ||||||||
\(666\) | 5.59200 | + | 25.2213i | 0.216686 | + | 0.977305i | ||||
\(667\) | −7.33276 | − | 7.33276i | −0.283926 | − | 0.283926i | ||||
\(668\) | 24.4594 | + | 22.8786i | 0.946364 | + | 0.885198i | ||||
\(669\) | 6.65428 | + | 21.7347i | 0.257269 | + | 0.840312i | ||||
\(670\) | 5.94166 | + | 13.6934i | 0.229546 | + | 0.529022i | ||||
\(671\) | 11.6465 | − | 20.1724i | 0.449610 | − | 0.778747i | ||||
\(672\) | −6.17648 | − | 1.73564i | −0.238263 | − | 0.0669537i | ||||
\(673\) | 16.1240 | + | 27.9276i | 0.621534 | + | 1.07653i | 0.989200 | + | 0.146571i | \(0.0468236\pi\) |
−0.367666 | + | 0.929958i | \(0.619843\pi\) | |||||||
\(674\) | 3.32922 | − | 4.49202i | 0.128237 | − | 0.173026i | ||||
\(675\) | 21.7229 | + | 3.41441i | 0.836116 | + | 0.131421i | ||||
\(676\) | −15.6216 | + | 4.74999i | −0.600831 | + | 0.182692i | ||||
\(677\) | 9.43821 | − | 35.2239i | 0.362740 | − | 1.35376i | −0.507719 | − | 0.861523i | \(-0.669511\pi\) |
0.870459 | − | 0.492241i | \(-0.163822\pi\) | |||||||
\(678\) | 3.38347 | − | 2.88759i | 0.129941 | − | 0.110897i | ||||
\(679\) | −3.46674 | − | 2.00152i | −0.133041 | − | 0.0768113i | ||||
\(680\) | 6.81477 | + | 0.552008i | 0.261335 | + | 0.0211685i | ||||
\(681\) | −6.37104 | − | 3.38434i | −0.244139 | − | 0.129688i | ||||
\(682\) | −21.8762 | − | 27.5452i | −0.837682 | − | 1.05476i | ||||
\(683\) | −1.95185 | − | 1.95185i | −0.0746855 | − | 0.0746855i | 0.668777 | − | 0.743463i | \(-0.266818\pi\) |
−0.743463 | + | 0.668777i | \(0.766818\pi\) | |||||||
\(684\) | −14.6424 | + | 1.52802i | −0.559864 | + | 0.0584253i | ||||
\(685\) | 2.06146 | − | 2.06146i | 0.0787642 | − | 0.0787642i | ||||
\(686\) | −1.43217 | + | 12.4855i | −0.0546807 | + | 0.476697i | ||||
\(687\) | −48.3467 | + | 1.70727i | −1.84454 | + | 0.0651364i | ||||
\(688\) | 2.29424 | − | 2.62303i | 0.0874670 | − | 0.100002i | ||||
\(689\) | 24.8719 | − | 43.0793i | 0.947542 | − | 1.64119i | ||||
\(690\) | 7.16386 | + | 4.92749i | 0.272724 | + | 0.187586i | ||||
\(691\) | 1.50428 | + | 0.403069i | 0.0572253 | + | 0.0153335i | 0.287318 | − | 0.957835i | \(-0.407236\pi\) |
−0.230093 | + | 0.973169i | \(0.573903\pi\) | |||||||
\(692\) | −29.7476 | − | 15.8753i | −1.13083 | − | 0.603487i | ||||
\(693\) | 2.22349 | − | 11.4869i | 0.0844634 | − | 0.436352i | ||||
\(694\) | −6.60458 | + | 0.981917i | −0.250706 | + | 0.0372731i | ||||
\(695\) | −8.21412 | + | 4.74242i | −0.311579 | + | 0.179890i | ||||
\(696\) | 8.45650 | + | 9.26380i | 0.320543 | + | 0.351144i | ||||
\(697\) | 16.9849 | + | 9.80626i | 0.643351 | + | 0.371439i | ||||
\(698\) | 10.5481 | + | 4.16428i | 0.399251 | + | 0.157620i | ||||
\(699\) | 2.63760 | − | 11.4451i | 0.0997631 | − | 0.432895i | ||||
\(700\) | 3.78588 | − | 4.04748i | 0.143093 | − | 0.152980i | ||||
\(701\) | −21.5819 | + | 21.5819i | −0.815136 | + | 0.815136i | −0.985399 | − | 0.170263i | \(-0.945538\pi\) |
0.170263 | + | 0.985399i | \(0.445538\pi\) | |||||||
\(702\) | −17.1458 | + | 29.1354i | −0.647128 | + | 1.09964i | ||||
\(703\) | 14.9404 | 0.563489 | ||||||||
\(704\) | −38.6762 | + | 27.8307i | −1.45766 | + | 1.04891i | ||||
\(705\) | 7.49407 | + | 11.9826i | 0.282243 | + | 0.451290i | ||||
\(706\) | −7.83363 | − | 18.0537i | −0.294823 | − | 0.679461i | ||||
\(707\) | 2.16535 | + | 8.08119i | 0.0814363 | + | 0.303925i | ||||
\(708\) | −24.0514 | − | 4.70338i | −0.903909 | − | 0.176764i | ||||
\(709\) | −5.51773 | + | 20.5925i | −0.207223 | + | 0.773366i | 0.781538 | + | 0.623858i | \(0.214436\pi\) |
−0.988760 | + | 0.149508i | \(0.952231\pi\) | |||||||
\(710\) | 0.792553 | + | 5.33087i | 0.0297440 | + | 0.200064i | ||||
\(711\) | −3.45428 | − | 48.8484i | −0.129545 | − | 1.83196i | ||||
\(712\) | 4.85649 | − | 13.6153i | 0.182005 | − | 0.510256i | ||||
\(713\) | −14.6479 | + | 8.45696i | −0.548568 | + | 0.316716i | ||||
\(714\) | −4.35011 | + | 0.804581i | −0.162799 | + | 0.0301107i | ||||
\(715\) | 23.1958 | − | 6.21528i | 0.867472 | − | 0.232438i | ||||
\(716\) | 15.7636 | − | 9.81685i | 0.589115 | − | 0.366873i | ||||
\(717\) | 9.65975 | − | 10.3670i | 0.360750 | − | 0.387161i | ||||
\(718\) | 0.0792239 | − | 0.690661i | 0.00295661 | − | 0.0257752i | ||||
\(719\) | 28.4354 | 1.06046 | 0.530230 | − | 0.847854i | \(-0.322106\pi\) | ||||
0.530230 | + | 0.847854i | \(0.322106\pi\) | |||||||
\(720\) | −8.38482 | − | 6.34822i | −0.312484 | − | 0.236584i | ||||
\(721\) | −1.38264 | −0.0514923 | ||||||||
\(722\) | 2.09185 | − | 18.2364i | 0.0778505 | − | 0.678688i | ||||
\(723\) | 0.263087 | + | 0.859315i | 0.00978431 | + | 0.0319583i | ||||
\(724\) | 23.1569 | + | 37.1847i | 0.860619 | + | 1.38196i | ||||
\(725\) | −10.4660 | + | 2.80436i | −0.388697 | + | 0.104151i | ||||
\(726\) | −38.9182 | − | 45.6015i | −1.44439 | − | 1.69243i | ||||
\(727\) | 23.2100 | − | 13.4003i | 0.860812 | − | 0.496990i | −0.00347239 | − | 0.999994i | \(-0.501105\pi\) |
0.864284 | + | 0.503004i | \(0.167772\pi\) | |||||||
\(728\) | 3.65047 | + | 7.69860i | 0.135296 | + | 0.285329i | ||||
\(729\) | 5.67568 | + | 26.3967i | 0.210210 | + | 0.977656i | ||||
\(730\) | −0.119672 | − | 0.804940i | −0.00442927 | − | 0.0297922i | ||||
\(731\) | 0.621920 | − | 2.32104i | 0.0230025 | − | 0.0858466i | ||||
\(732\) | 10.2143 | + | 8.89949i | 0.377532 | + | 0.328935i | ||||
\(733\) | −6.44950 | − | 24.0699i | −0.238218 | − | 0.889041i | −0.976672 | − | 0.214737i | \(-0.931110\pi\) |
0.738454 | − | 0.674304i | \(-0.235556\pi\) | |||||||
\(734\) | −4.47055 | − | 10.3030i | −0.165011 | − | 0.380292i | ||||
\(735\) | −4.67954 | + | 8.80926i | −0.172607 | + | 0.324935i | ||||
\(736\) | 10.5019 | + | 20.3630i | 0.387107 | + | 0.750592i | ||||
\(737\) | −71.7313 | −2.64226 | ||||||||
\(738\) | −13.9307 | − | 26.7592i | −0.512797 | − | 0.985021i | ||||
\(739\) | −9.91976 | + | 9.91976i | −0.364904 | + | 0.364904i | −0.865615 | − | 0.500711i | \(-0.833072\pi\) |
0.500711 | + | 0.865615i | \(0.333072\pi\) | |||||||
\(740\) | 7.79467 | + | 7.29088i | 0.286538 | + | 0.268018i | ||||
\(741\) | 14.3040 | + | 13.3282i | 0.525469 | + | 0.489623i | ||||
\(742\) | −9.31347 | − | 3.67687i | −0.341908 | − | 0.134982i | ||||
\(743\) | −15.1283 | − | 8.73432i | −0.555003 | − | 0.320431i | 0.196134 | − | 0.980577i | \(-0.437161\pi\) |
−0.751137 | + | 0.660146i | \(0.770494\pi\) | |||||||
\(744\) | 18.1645 | − | 9.41218i | 0.665944 | − | 0.345067i | ||||
\(745\) | 15.0257 | − | 8.67507i | 0.550497 | − | 0.317830i | ||||
\(746\) | −31.7000 | + | 4.71292i | −1.16062 | + | 0.172552i | ||||
\(747\) | 12.5922 | + | 10.9289i | 0.460725 | + | 0.399868i | ||||
\(748\) | −15.4690 | + | 28.9863i | −0.565602 | + | 1.05984i | ||||
\(749\) | −6.50048 | − | 1.74180i | −0.237522 | − | 0.0636439i | ||||
\(750\) | 17.8912 | − | 8.52552i | 0.653293 | − | 0.311308i | ||||
\(751\) | −1.95134 | + | 3.37983i | −0.0712056 | + | 0.123332i | −0.899430 | − | 0.437065i | \(-0.856018\pi\) |
0.828224 | + | 0.560397i | \(0.189351\pi\) | |||||||
\(752\) | 2.48463 | + | 37.1587i | 0.0906052 | + | 1.35504i | ||||
\(753\) | 18.1331 | + | 28.9938i | 0.660807 | + | 1.05659i | ||||
\(754\) | 1.89831 | − | 16.5491i | 0.0691322 | − | 0.602683i | ||||
\(755\) | −3.64548 | + | 3.64548i | −0.132673 | + | 0.132673i | ||||
\(756\) | 6.30849 | + | 2.55135i | 0.229438 | + | 0.0927918i | ||||
\(757\) | 16.8568 | + | 16.8568i | 0.612670 | + | 0.612670i | 0.943641 | − | 0.330971i | \(-0.107376\pi\) |
−0.330971 | + | 0.943641i | \(0.607376\pi\) | |||||||
\(758\) | 30.5586 | + | 38.4775i | 1.10994 | + | 1.39757i | ||||
\(759\) | −35.4256 | + | 22.1557i | −1.28587 | + | 0.804200i | ||||
\(760\) | −4.63398 | + | 3.93951i | −0.168092 | + | 0.142901i | ||||
\(761\) | 34.1207 | + | 19.6996i | 1.23688 | + | 0.714111i | 0.968454 | − | 0.249191i | \(-0.0801647\pi\) |
0.268422 | + | 0.963302i | \(0.413498\pi\) | |||||||
\(762\) | 44.3327 | + | 15.7175i | 1.60601 | + | 0.569385i | ||||
\(763\) | −1.37373 | + | 5.12685i | −0.0497325 | + | 0.185604i | ||||
\(764\) | −2.01357 | − | 6.62215i | −0.0728483 | − | 0.239581i | ||||
\(765\) | −7.11968 | − | 1.37814i | −0.257413 | − | 0.0498266i | ||||
\(766\) | −6.19281 | + | 8.35579i | −0.223755 | + | 0.301907i | ||||
\(767\) | 16.2730 | + | 28.1857i | 0.587584 | + | 1.01773i | ||||
\(768\) | −11.5685 | − | 25.1827i | −0.417443 | − | 0.908703i | ||||
\(769\) | 10.1180 | − | 17.5249i | 0.364866 | − | 0.631966i | −0.623889 | − | 0.781513i | \(-0.714448\pi\) |
0.988755 | + | 0.149547i | \(0.0477816\pi\) | |||||||
\(770\) | −1.92411 | − | 4.43437i | −0.0693399 | − | 0.159804i | ||||
\(771\) | 20.6029 | − | 22.1113i | 0.741996 | − | 0.796318i | ||||
\(772\) | 13.4818 | − | 14.4133i | 0.485219 | − | 0.518747i | ||||
\(773\) | −2.34590 | − | 2.34590i | −0.0843761 | − | 0.0843761i | 0.663659 | − | 0.748035i | \(-0.269003\pi\) |
−0.748035 | + | 0.663659i | \(0.769003\pi\) | |||||||
\(774\) | −2.72506 | + | 2.49717i | −0.0979503 | + | 0.0897589i | ||||
\(775\) | 17.6725i | 0.634816i | ||||||||
\(776\) | −3.11222 | − | 17.0089i | −0.111722 | − | 0.610582i | ||||
\(777\) | −6.09883 | − | 3.23974i | −0.218794 | − | 0.116225i | ||||
\(778\) | 10.0004 | − | 25.3308i | 0.358531 | − | 0.908153i | ||||
\(779\) | −16.8527 | + | 4.51566i | −0.603810 | + | 0.161790i | ||||
\(780\) | 0.958501 | + | 13.9338i | 0.0343198 | + | 0.498910i | ||||
\(781\) | −25.0166 | − | 6.70318i | −0.895164 | − | 0.239859i | ||||
\(782\) | 12.6926 | + | 9.40700i | 0.453886 | + | 0.336394i | ||||
\(783\) | −7.83255 | − | 10.7540i | −0.279912 | − | 0.384316i | ||||
\(784\) | −21.8359 | + | 14.6319i | −0.779853 | + | 0.522567i | ||||
\(785\) | −8.61946 | − | 14.9293i | −0.307642 | − | 0.532851i | ||||
\(786\) | 2.33423 | − | 29.5196i | 0.0832593 | − | 1.05293i | ||||
\(787\) | −8.00353 | − | 29.8696i | −0.285295 | − | 1.06474i | −0.948623 | − | 0.316407i | \(-0.897523\pi\) |
0.663328 | − | 0.748328i | \(-0.269143\pi\) | |||||||
\(788\) | 7.40552 | + | 11.8916i | 0.263811 | + | 0.423620i | ||||
\(789\) | 17.3341 | − | 5.30701i | 0.617112 | − | 0.188934i | ||||
\(790\) | −12.5825 | − | 15.8431i | −0.447665 | − | 0.563673i | ||||
\(791\) | 1.18908i | 0.0422790i | ||||||||
\(792\) | 44.0242 | − | 24.8205i | 1.56433 | − | 0.881958i | ||||
\(793\) | − | 17.9914i | − | 0.638893i | ||||||
\(794\) | 36.5284 | − | 29.0106i | 1.29635 | − | 1.02955i | ||||
\(795\) | −12.0086 | − | 11.1894i | −0.425902 | − | 0.396848i | ||||
\(796\) | −8.78493 | + | 37.7890i | −0.311374 | + | 1.33939i | ||||
\(797\) | 5.59514 | + | 20.8814i | 0.198190 | + | 0.739655i | 0.991418 | + | 0.130730i | \(0.0417323\pi\) |
−0.793228 | + | 0.608925i | \(0.791601\pi\) | |||||||
\(798\) | 2.23027 | − | 3.24250i | 0.0789508 | − | 0.114783i | ||||
\(799\) | 12.8398 | + | 22.2392i | 0.454240 | + | 0.786767i | ||||
\(800\) | 23.9124 | + | 1.13530i | 0.845429 | + | 0.0401390i | ||||
\(801\) | −6.71049 | + | 13.7859i | −0.237103 | + | 0.487102i | ||||
\(802\) | 7.76452 | − | 10.4764i | 0.274175 | − | 0.369936i | ||||
\(803\) | 3.77741 | + | 1.01215i | 0.133302 | + | 0.0357181i | ||||
\(804\) | 8.00679 | − | 40.9439i | 0.282378 | − | 1.44398i | ||||
\(805\) | −2.24513 | + | 0.601580i | −0.0791303 | + | 0.0212029i | ||||
\(806\) | −25.2710 | − | 9.97676i | −0.890134 | − | 0.351417i | ||||
\(807\) | −30.9193 | + | 19.3374i | −1.08841 | + | 0.680709i | ||||
\(808\) | −20.5370 | + | 29.7357i | −0.722488 | + | 1.04610i | ||||
\(809\) | − | 16.4138i | − | 0.577078i | −0.957468 | − | 0.288539i | \(-0.906831\pi\) | ||
0.957468 | − | 0.288539i | \(-0.0931695\pi\) | |||||||
\(810\) | 8.09763 | + | 7.67198i | 0.284522 | + | 0.269566i | ||||
\(811\) | 2.03580 | + | 2.03580i | 0.0714865 | + | 0.0714865i | 0.741946 | − | 0.670460i | \(-0.233903\pi\) |
−0.670460 | + | 0.741946i | \(0.733903\pi\) | |||||||
\(812\) | −3.35118 | + | 0.111914i | −0.117603 | + | 0.00392742i | ||||
\(813\) | 2.78146 | + | 0.641002i | 0.0975499 | + | 0.0224809i | ||||
\(814\) | −47.0510 | + | 20.4157i | −1.64914 | + | 0.715571i | ||||
\(815\) | −3.10301 | + | 5.37456i | −0.108694 | + | 0.188263i | ||||
\(816\) | −14.8186 | − | 12.0652i | −0.518755 | − | 0.422365i | ||||
\(817\) | 1.06881 | + | 1.85123i | 0.0373928 | + | 0.0647663i | ||||
\(818\) | 22.6670 | + | 16.7994i | 0.792531 | + | 0.587377i | ||||
\(819\) | −2.94888 | − | 8.54242i | −0.103042 | − | 0.298496i | ||||
\(820\) | −10.9959 | − | 5.86815i | −0.383995 | − | 0.204925i | ||||
\(821\) | 2.92634 | − | 10.9213i | 0.102130 | − | 0.381155i | −0.895874 | − | 0.444309i | \(-0.853449\pi\) |
0.998004 | + | 0.0631541i | \(0.0201160\pi\) | |||||||
\(822\) | −8.01224 | + | 1.48192i | −0.279459 | + | 0.0516877i | ||||
\(823\) | −9.22371 | − | 5.32531i | −0.321518 | − | 0.185629i | 0.330551 | − | 0.943788i | \(-0.392766\pi\) |
−0.652069 | + | 0.758159i | \(0.726099\pi\) | |||||||
\(824\) | −3.86835 | − | 4.55027i | −0.134760 | − | 0.158516i | ||||
\(825\) | 1.54071 | + | 43.6302i | 0.0536407 | + | 1.51901i | ||||
\(826\) | 5.13016 | − | 4.07434i | 0.178501 | − | 0.141764i | ||||
\(827\) | 25.0775 | + | 25.0775i | 0.872029 | + | 0.872029i | 0.992693 | − | 0.120665i | \(-0.0385026\pi\) |
−0.120665 | + | 0.992693i | \(0.538503\pi\) | |||||||
\(828\) | −8.69209 | − | 22.6938i | −0.302071 | − | 0.788665i | ||||
\(829\) | 21.3779 | − | 21.3779i | 0.742484 | − | 0.742484i | −0.230571 | − | 0.973055i | \(-0.574059\pi\) |
0.973055 | + | 0.230571i | \(0.0740594\pi\) | |||||||
\(830\) | 6.84365 | + | 0.785017i | 0.237547 | + | 0.0272483i | ||||
\(831\) | −9.85097 | + | 18.5445i | −0.341726 | + | 0.643302i | ||||
\(832\) | −15.1228 | + | 33.5528i | −0.524289 | + | 1.16323i | ||||
\(833\) | −9.06227 | + | 15.6963i | −0.313989 | + | 0.543845i | ||||
\(834\) | 26.4269 | + | 2.08968i | 0.915088 | + | 0.0723597i | ||||
\(835\) | −14.1761 | − | 3.79848i | −0.490584 | − | 0.131452i | ||||
\(836\) | −8.50290 | − | 27.9641i | −0.294079 | − | 0.967157i | ||||
\(837\) | −20.2488 | + | 7.80011i | −0.699902 | + | 0.269611i | ||||
\(838\) | −6.31503 | − | 42.4762i | −0.218149 | − | 1.46732i | ||||
\(839\) | −26.6311 | + | 15.3755i | −0.919407 | + | 0.530820i | −0.883446 | − | 0.468533i | \(-0.844783\pi\) |
−0.0359612 | + | 0.999353i | \(0.511449\pi\) | |||||||
\(840\) | 2.74590 | − | 0.603298i | 0.0947424 | − | 0.0208157i | ||||
\(841\) | −19.4376 | − | 11.2223i | −0.670261 | − | 0.386975i | ||||
\(842\) | 5.42590 | − | 13.7437i | 0.186989 | − | 0.473641i | ||||
\(843\) | −4.36245 | + | 1.33560i | −0.150251 | + | 0.0460006i | ||||
\(844\) | −0.128903 | − | 3.85988i | −0.00443701 | − | 0.132863i | ||||
\(845\) | 5.05928 | − | 5.05928i | 0.174045 | − | 0.174045i | ||||
\(846\) | 1.72214 | − | 39.4632i | 0.0592083 | − | 1.35677i | ||||
\(847\) | 16.0262 | 0.550665 | ||||||||
\(848\) | −13.9566 | − | 40.9377i | −0.479272 | − | 1.40581i | ||||
\(849\) | 18.6054 | − | 0.657012i | 0.638535 | − | 0.0225486i | ||||
\(850\) | 15.1430 | − | 6.57067i | 0.519402 | − | 0.225372i | ||||
\(851\) | 6.38307 | + | 23.8220i | 0.218809 | + | 0.816606i | ||||
\(852\) | 6.61855 | − | 13.5312i | 0.226748 | − | 0.463570i | ||||
\(853\) | −10.3808 | + | 38.7416i | −0.355431 | + | 1.32649i | 0.524511 | + | 0.851404i | \(0.324248\pi\) |
−0.879942 | + | 0.475082i | \(0.842418\pi\) | |||||||
\(854\) | −3.58215 | + | 0.532566i | −0.122579 | + | 0.0182240i | ||||
\(855\) | 5.34544 | − | 3.61165i | 0.182810 | − | 0.123516i | ||||
\(856\) | −12.4548 | − | 26.2662i | −0.425695 | − | 0.897762i | ||||
\(857\) | 47.6428 | − | 27.5066i | 1.62745 | − | 0.939606i | 0.642594 | − | 0.766206i | \(-0.277858\pi\) |
0.984851 | − | 0.173400i | \(-0.0554753\pi\) | |||||||
\(858\) | −63.2592 | − | 22.4276i | −2.15963 | − | 0.765665i | ||||
\(859\) | 30.6273 | − | 8.20655i | 1.04499 | − | 0.280004i | 0.304809 | − | 0.952413i | \(-0.401407\pi\) |
0.740179 | + | 0.672409i | \(0.234741\pi\) | |||||||
\(860\) | −0.345779 | + | 1.48739i | −0.0117910 | + | 0.0507196i | ||||
\(861\) | 7.85862 | + | 1.81106i | 0.267821 | + | 0.0617208i | ||||
\(862\) | −15.9663 | − | 1.83146i | −0.543815 | − | 0.0623796i | ||||
\(863\) | 3.26635 | 0.111188 | 0.0555940 | − | 0.998453i | \(-0.482295\pi\) | ||||
0.0555940 | + | 0.998453i | \(0.482295\pi\) | |||||||
\(864\) | 9.25337 | + | 27.8994i | 0.314806 | + | 0.949156i | ||||
\(865\) | 14.7756 | 0.502386 | ||||||||
\(866\) | 13.5600 | + | 1.55543i | 0.460788 | + | 0.0528558i | ||||
\(867\) | 15.8528 | + | 3.65337i | 0.538390 | + | 0.124075i | ||||
\(868\) | −1.23836 | + | 5.32687i | −0.0420325 | + | 0.180806i | ||||
\(869\) | 93.9109 | − | 25.1634i | 3.18571 | − | 0.853608i | ||||
\(870\) | −5.18051 | − | 1.83667i | −0.175636 | − | 0.0622690i | ||||
\(871\) | −47.9818 | + | 27.7023i | −1.62580 | + | 0.938657i | ||||
\(872\) | −20.7159 | + | 9.82291i | −0.701527 | + | 0.332646i | ||||
\(873\) | 1.29368 | + | 18.2945i | 0.0437844 | + | 0.619173i | ||||
\(874\) | −13.9015 | + | 2.06676i | −0.470225 | + | 0.0699094i | ||||
\(875\) | −1.37121 | + | 5.11741i | −0.0463553 | + | 0.173000i | ||||
\(876\) | −0.999375 | + | 2.04315i | −0.0337657 | + | 0.0690316i | ||||
\(877\) | 9.53436 | + | 35.5827i | 0.321952 | + | 1.20154i | 0.917340 | + | 0.398104i | \(0.130332\pi\) |
−0.595388 | + | 0.803439i | \(0.703002\pi\) | |||||||
\(878\) | 20.3932 | − | 8.84875i | 0.688237 | − | 0.298631i | ||||
\(879\) | −7.09579 | + | 0.250574i | −0.239335 | + | 0.00845165i | ||||
\(880\) | 9.21025 | − | 18.7387i | 0.310478 | − | 0.631681i | ||||
\(881\) | −24.2794 | −0.817994 | −0.408997 | − | 0.912536i | \(-0.634121\pi\) | ||||
−0.408997 | + | 0.912536i | \(0.634121\pi\) | |||||||
\(882\) | 24.7290 | − | 12.8738i | 0.832670 | − | 0.433484i | ||||
\(883\) | 17.8136 | − | 17.8136i | 0.599475 | − | 0.599475i | −0.340698 | − | 0.940173i | \(-0.610663\pi\) |
0.940173 | + | 0.340698i | \(0.110663\pi\) | |||||||
\(884\) | 0.847019 | + | 25.3633i | 0.0284883 | + | 0.853060i | ||||
\(885\) | 10.2686 | − | 3.14383i | 0.345175 | − | 0.105679i | ||||
\(886\) | 9.97448 | − | 25.2652i | 0.335099 | − | 0.848803i | ||||
\(887\) | 3.04467 | + | 1.75784i | 0.102230 | + | 0.0590225i | 0.550243 | − | 0.835004i | \(-0.314535\pi\) |
−0.448013 | + | 0.894027i | \(0.647868\pi\) | |||||||
\(888\) | −6.40130 | − | 29.1354i | −0.214814 | − | 0.977719i | ||||
\(889\) | −10.8893 | + | 6.28692i | −0.365214 | + | 0.210857i | ||||
\(890\) | 0.931523 | + | 6.26561i | 0.0312247 | + | 0.210024i | ||||
\(891\) | −49.3105 | + | 21.0223i | −1.65196 | + | 0.704275i | ||||
\(892\) | −7.63561 | − | 25.1117i | −0.255659 | − | 0.840803i | ||||
\(893\) | −22.0660 | − | 5.91258i | −0.738412 | − | 0.197857i | ||||
\(894\) | −48.3413 | − | 3.82254i | −1.61678 | − | 0.127845i | ||||
\(895\) | −4.06883 | + | 7.04742i | −0.136006 | + | 0.235569i | ||||
\(896\) | 7.12813 | + | 2.01780i | 0.238134 | + | 0.0674099i | ||||
\(897\) | −15.1401 | + | 28.5014i | −0.505514 | + | 0.951633i | ||||
\(898\) | −49.6107 | − | 5.69071i | −1.65553 | − | 0.189902i | ||||
\(899\) | 7.56046 | − | 7.56046i | 0.252155 | − | 0.252155i | ||||
\(900\) | −25.0759 | − | 3.99065i | −0.835863 | − | 0.133022i | ||||
\(901\) | −21.0885 | − | 21.0885i | −0.702559 | − | 0.702559i | ||||
\(902\) | 46.9025 | − | 37.2496i | 1.56168 | − | 1.24028i | ||||
\(903\) | −0.0348700 | − | 0.987454i | −0.00116040 | − | 0.0328604i | ||||
\(904\) | −3.91327 | + | 3.32681i | −0.130153 | + | 0.110648i | ||||
\(905\) | −16.6241 | − | 9.59793i | −0.552604 | − | 0.319046i | ||||
\(906\) | 14.1688 | − | 2.62062i | 0.470728 | − | 0.0870642i | ||||
\(907\) | 7.82207 | − | 29.1924i | 0.259727 | − | 0.969316i | −0.705672 | − | 0.708539i | \(-0.749355\pi\) |
0.965399 | − | 0.260777i | \(-0.0839788\pi\) | |||||||
\(908\) | 7.34915 | + | 3.92198i | 0.243890 | + | 0.130156i | ||||
\(909\) | 25.1244 | − | 28.9481i | 0.833323 | − | 0.960147i | ||||
\(910\) | −2.99959 | − | 2.22312i | −0.0994354 | − | 0.0736956i | ||||
\(911\) | −25.9833 | − | 45.0044i | −0.860866 | − | 1.49106i | −0.871094 | − | 0.491116i | \(-0.836589\pi\) |
0.0102283 | − | 0.999948i | \(-0.496744\pi\) | |||||||
\(912\) | 16.9109 | − | 1.73202i | 0.559975 | − | 0.0573529i | ||||
\(913\) | −16.5514 | + | 28.6679i | −0.547772 | + | 0.948769i | ||||
\(914\) | −0.847006 | + | 0.367522i | −0.0280165 | + | 0.0121565i | ||||
\(915\) | −5.78492 | − | 1.33317i | −0.191243 | − | 0.0440731i | ||||
\(916\) | 55.8297 | − | 1.86446i | 1.84466 | − | 0.0616034i | ||||
\(917\) | 5.59735 | + | 5.59735i | 0.184841 | + | 0.184841i | ||||
\(918\) | 14.2122 | + | 14.4505i | 0.469073 | + | 0.476937i | ||||
\(919\) | − | 24.7771i | − | 0.817322i | −0.912686 | − | 0.408661i | \(-0.865996\pi\) | ||
0.912686 | − | 0.408661i | \(-0.134004\pi\) | |||||||
\(920\) | −8.26120 | − | 5.70561i | −0.272364 | − | 0.188108i | ||||
\(921\) | −11.2218 | + | 7.01827i | −0.369770 | + | 0.231260i | ||||
\(922\) | 5.32902 | + | 2.10385i | 0.175502 | + | 0.0692866i | ||||
\(923\) | −19.3226 | + | 5.17748i | −0.636011 | + | 0.170419i | ||||
\(924\) | −2.59286 | + | 13.2590i | −0.0852990 | + | 0.436189i | ||||
\(925\) | 24.8904 | + | 6.66936i | 0.818391 | + | 0.219287i | ||||
\(926\) | 35.5306 | − | 47.9404i | 1.16761 | − | 1.57542i | ||||
\(927\) | 3.54640 | + | 5.24888i | 0.116479 | + | 0.172396i | ||||
\(928\) | −9.74422 | − | 10.7156i | −0.319870 | − | 0.351757i | ||||
\(929\) | 18.9049 | + | 32.7442i | 0.620249 | + | 1.07430i | 0.989439 | + | 0.144949i | \(0.0463017\pi\) |
−0.369190 | + | 0.929354i | \(0.620365\pi\) | |||||||
\(930\) | −5.08050 | + | 7.38632i | −0.166596 | + | 0.242207i | ||||
\(931\) | −4.17306 | − | 15.5741i | −0.136767 | − | 0.510420i | ||||
\(932\) | −3.07094 | + | 13.2099i | −0.100592 | + | 0.432703i | ||||
\(933\) | 19.7448 | + | 18.3978i | 0.646415 | + | 0.602318i | ||||
\(934\) | 0.283285 | − | 0.224983i | 0.00926937 | − | 0.00736167i | ||||
\(935\) | − | 14.3975i | − | 0.470849i | ||||||
\(936\) | 19.8627 | − | 33.6047i | 0.649233 | − | 1.09840i | ||||
\(937\) | 18.8873i | 0.617022i | 0.951221 | + | 0.308511i | \(0.0998307\pi\) | ||||
−0.951221 | + | 0.308511i | \(0.900169\pi\) | |||||||
\(938\) | 6.93594 | + | 8.73332i | 0.226466 | + | 0.285153i | ||||
\(939\) | −48.6880 | + | 14.9063i | −1.58887 | + | 0.486448i | ||||
\(940\) | −8.62689 | − | 13.8528i | −0.281378 | − | 0.451830i | ||||
\(941\) | 2.22556 | + | 8.30590i | 0.0725511 | + | 0.270765i | 0.992667 | − | 0.120882i | \(-0.0385723\pi\) |
−0.920116 | + | 0.391647i | \(0.871906\pi\) | |||||||
\(942\) | −3.79804 | + | 48.0315i | −0.123747 | + | 1.56495i | ||||
\(943\) | −14.4001 | − | 24.9417i | −0.468931 | − | 0.812213i | ||||
\(944\) | 27.7618 | + | 5.48418i | 0.903568 | + | 0.178495i | ||||
\(945\) | −2.96522 | + | 0.315182i | −0.0964588 | + | 0.0102529i | ||||
\(946\) | −5.89559 | − | 4.36946i | −0.191682 | − | 0.142063i | ||||
\(947\) | −29.3101 | − | 7.85363i | −0.952452 | − | 0.255209i | −0.251049 | − | 0.967974i | \(-0.580776\pi\) |
−0.701402 | + | 0.712766i | \(0.747442\pi\) | |||||||
\(948\) | 3.88061 | + | 56.4128i | 0.126036 | + | 1.83220i | ||||
\(949\) | 2.91764 | − | 0.781778i | 0.0947105 | − | 0.0253776i | ||||
\(950\) | −5.39234 | + | 13.6587i | −0.174951 | + | 0.443148i | ||||
\(951\) | −8.35547 | − | 4.43849i | −0.270945 | − | 0.143928i | ||||
\(952\) | 5.02485 | − | 0.919428i | 0.162856 | − | 0.0297988i | ||||
\(953\) | − | 53.9237i | − | 1.74676i | −0.487038 | − | 0.873381i | \(-0.661923\pi\) | ||
0.487038 | − | 0.873381i | \(-0.338077\pi\) | |||||||
\(954\) | 9.93016 | + | 44.7874i | 0.321501 | + | 1.45005i | ||||
\(955\) | 2.14468 | + | 2.14468i | 0.0694002 | + | 0.0694002i | ||||
\(956\) | −11.1770 | + | 11.9493i | −0.361491 | + | 0.386469i | ||||
\(957\) | 18.0062 | − | 19.3245i | 0.582058 | − | 0.624672i | ||||
\(958\) | −7.85985 | − | 18.1141i | −0.253940 | − | 0.585241i | ||||
\(959\) | 1.08908 | − | 1.88635i | 0.0351684 | − | 0.0609134i | ||||
\(960\) | 9.66790 | + | 7.34883i | 0.312030 | + | 0.237182i | ||||
\(961\) | 6.78043 | + | 11.7441i | 0.218724 | + | 0.378840i | ||||
\(962\) | −23.5884 | + | 31.8272i | −0.760521 | + | 1.02615i | ||||
\(963\) | 10.0610 | + | 29.1452i | 0.324212 | + | 0.939190i | ||||
\(964\) | −0.301886 | − | 0.992831i | −0.00972309 | − | 0.0319769i | ||||
\(965\) | −2.23835 | + | 8.35362i | −0.0720549 | + | 0.268913i | ||||
\(966\) | 6.12288 | + | 2.17078i | 0.197001 | + | 0.0698436i | ||||
\(967\) | 17.5688 | + | 10.1433i | 0.564973 | + | 0.326187i | 0.755139 | − | 0.655565i | \(-0.227569\pi\) |
−0.190166 | + | 0.981752i | \(0.560903\pi\) | |||||||
\(968\) | 44.8379 | + | 52.7420i | 1.44114 | + | 1.69519i | ||||
\(969\) | 9.93817 | − | 6.21547i | 0.319260 | − | 0.199670i | ||||
\(970\) | 4.71233 | + | 5.93349i | 0.151304 | + | 0.190513i | ||||
\(971\) | 8.82647 | + | 8.82647i | 0.283255 | + | 0.283255i | 0.834406 | − | 0.551151i | \(-0.185811\pi\) |
−0.551151 | + | 0.834406i | \(0.685811\pi\) | |||||||
\(972\) | −6.49532 | − | 30.4928i | −0.208338 | − | 0.978057i | ||||
\(973\) | −5.01092 | + | 5.01092i | −0.160643 | + | 0.160643i | ||||
\(974\) | 0.472755 | − | 4.12140i | 0.0151481 | − | 0.132058i | ||||
\(975\) | 17.8804 | + | 28.5897i | 0.572630 | + | 0.915602i | ||||
\(976\) | −11.7748 | − | 10.2988i | −0.376901 | − | 0.329657i | ||||
\(977\) | 21.4183 | − | 37.0976i | 0.685233 | − | 1.18686i | −0.288131 | − | 0.957591i | \(-0.593034\pi\) |
0.973364 | − | 0.229267i | \(-0.0736328\pi\) | |||||||
\(978\) | 15.6584 | − | 7.46155i | 0.500699 | − | 0.238594i | ||||
\(979\) | −29.4031 | − | 7.87854i | −0.939728 | − | 0.251799i | ||||
\(980\) | 5.42294 | − | 10.1617i | 0.173230 | − | 0.324603i | ||||
\(981\) | 22.9864 | − | 7.93502i | 0.733900 | − | 0.253346i | ||||
\(982\) | −25.7508 | + | 3.82843i | −0.821741 | + | 0.122170i | ||||
\(983\) | −16.9469 | + | 9.78431i | −0.540523 | + | 0.312071i | −0.745291 | − | 0.666740i | \(-0.767689\pi\) |
0.204768 | + | 0.978811i | \(0.434356\pi\) | |||||||
\(984\) | 16.0266 | + | 30.9297i | 0.510909 | + | 0.986001i | ||||
\(985\) | −5.31635 | − | 3.06940i | −0.169393 | − | 0.0977991i | ||||
\(986\) | −9.28931 | − | 3.66733i | −0.295832 | − | 0.116792i | ||||
\(987\) | 7.72546 | + | 7.19845i | 0.245904 | + | 0.229129i | ||||
\(988\) | −16.4873 | − | 15.4217i | −0.524530 | − | 0.490628i | ||||
\(989\) | −2.49508 | + | 2.49508i | −0.0793390 | + | 0.0793390i | ||||
\(990\) | −11.8988 | + | 18.6783i | −0.378170 | + | 0.593637i | ||||
\(991\) | −26.7726 | −0.850459 | −0.425230 | − | 0.905086i | \(-0.639807\pi\) | ||||
−0.425230 | + | 0.905086i | \(0.639807\pi\) | |||||||
\(992\) | −20.9954 | + | 10.8281i | −0.666604 | + | 0.343791i | ||||
\(993\) | 20.9867 | − | 39.5076i | 0.665993 | − | 1.25374i | ||||
\(994\) | 1.60282 | + | 3.69394i | 0.0508385 | + | 0.117165i | ||||
\(995\) | −4.40015 | − | 16.4216i | −0.139494 | − | 0.520599i | ||||
\(996\) | −14.5160 | − | 12.6475i | −0.459958 | − | 0.400750i | ||||
\(997\) | 2.37990 | − | 8.88189i | 0.0753720 | − | 0.281292i | −0.917945 | − | 0.396707i | \(-0.870153\pi\) |
0.993317 | + | 0.115415i | \(0.0368196\pi\) | |||||||
\(998\) | 3.80916 | + | 25.6212i | 0.120577 | + | 0.811024i | ||||
\(999\) | 3.34424 | + | 31.4626i | 0.105807 | + | 0.995431i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 144.2.x.e.85.1 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.18 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.17 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.8 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.11 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.12 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.9 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.11 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.9 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.7 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.8 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.7 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.18 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.1 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.12 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.17 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.11 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.1 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.1 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.11 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.18 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.8 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.8 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.18 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.17 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.9 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.9 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.17 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.7 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.12 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.12 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.7 | 72 | 36.11 | even | 6 |